standard 52 card deck probability

My solution: $\left(\frac{4}{52}\right)$$\left(\frac{3}{51}\right)$+$\left(\frac{12}{52}\right)$$\left(\frac{11}{51}\right)$ = $\left(\frac{1}{221}\right)$+$\left(\frac{11}{221}\right)$ = $\frac{12}{221}$. Lorem ipsum dolor sit amet, consectetur adipiscing elit. =NCn = N!/(n! BEST Self-Working ACAAN (A Card at Any Number) Easy Card Trick - No Sleight of Hand. Therefore P ( a c e) = 4 52 and P ( h e a r t) = 13 52. a) Determine the probability that exactly 5 of them are hearts. Lorem ipsum dolor sit amet, consectetur adipiscing elit. What is the probability that the ff. This gives 12 chances to draw a face card out of 52 possibilities. Now, the probability of cards in a deck is 13/52. There are 13 cards in a suit, they are Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2. ASSUMPTIONS The question refers to a standard pack of cards comprising 52 cards, (with the Jokers removed). 1 4 b. Two cards are drawn at random from a standard deck of $52$ cards and not replaced. 3 we define the states as the number of, Q:A card player selects 2 cards from a deck of 52 cards at random without replacement. Complete parts (a) and (b) below. (a) The card drawn is 10 The probability is : (b) The card WebThe probability that the card drawn from a standard 52-card deck is a SPADE, given that this card is BLACK? =1,1,1,2,1,3,1,4,1,5,1,6,2,1,, Q:The ACT college test is normally distributed with = 21.0 and = 5.5. Let X denote the exact number of successes we want. Donec aliquet. a. A random sample of 15 people. ages of the children Need sufficiently nuanced translation of whole thing. Can you please explain to me how to answer b? (Which is equivalent to 9/256 or 3.516%.) Q:A tile is selected from seven tiles, each labeled with a different letter from the first seven, A:A tile is selected from seven tiles, where each tile is labeled with a different letter from the, Q:A soft drink company fills two-liter bottles on several different lines of production equipment. WebThe probability is : A card is drawn randomly from a standard 52-card deck. On the other hand, if the probability of an event is 1, it will be a certain event. So you need the probability of drawing a heart and the probability of not drawing a heart and multiply two of the first times two of the second. Watch my FREE video tutorials and learn free magic tricks, sleight of hand, and magic tips! So there are 270,725 possible 4-card hands that can be dealt from a standard deck of 52 cards. E X 5) Plug in the numbers to get your answer! X~N( , ?) Population variance=0.0004 What is the probability that you draw 2 cards and they sum 21? What is the probability of drawing a black card from a well-shuffled deck of 52 cards? This simplifies to 1/4. Note that since each card draw event is independent of the other card draw events, the order in which the cards are drawn does not matter. (a) The card drawn is 9 (b) The card drawn is not 9 (c) The card drawn is a face card (Jack, Queen, or King) (d) The card drawn is not a face card. Do not use commas required. the card is an ace or a black card. The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities. Fusce dui lectus, congue vel laoreet ac, di, s a molestie consequat, ultrices ac magna. 0.10 What is the probability of drawing a Spade from a deck of cards? P(DIC) = What proportion of students. Total Jack cards = 4 1 = 4 Probability = 4/52 = 1/13 my answer on letter a is $\frac{12}{221}$ while the answer key is $\frac{4}{13}$. My solution: $\left(\frac{4}{52}\right)$$\left(\frac{3}{51}\right)$+$\left(\frac{26}{52}\right)$$\left(\frac{25}{51}\right)$ = $\left(\frac{1}{221}\right)$+$\left(\frac{25}{102}\right)$ = $\frac{336}{1326}$. This is calculated similarly to 2. Probability that two drawn cards are face cards. What is the probability that a randomly selected card is a club given that it is a black card? Choose an expert and meet online. Question 3: Find the probability of getting a black king, if one card is picked at random from a well-shuffled deck of 52 cards. What quick release knots would work to release a medical kit attached to a horse if I'm unmounted during trail? Solution for sing a standard deck of 52 cards, how many 6 -card hands contain 4 kings and 2 queens? voluptates consectetur nulla eveniet iure vitae quibusdam? The probability of drawing a Heart from a deck of cards is 1/4. Start your trial now! Probability from a deck of cards. Lets look at an introduction to probability with playing cards. of favorable outcomes / Total no. 52 card deck with 4 suits, 9 numbered cards in each suit (2 - 9), 3 face cards in each suit (jack,queen,king), and an ace (A) in each suit. and the appropriate table values. There are 12 face cards in a deck of 52 cards. * (52-4)!) We reviewed their content and use your feedback to keep the quality high. This means that there are 4 Choose an expert and meet online. N= 4 Also, the probability of each sequence was 0.252 * 0.752. Number of face cards in deck (12) divided by number of cards (52) or P1 =12/52, b) Probability of a numbered card given a deck with 51 cards, and 36 (4 x 9) numbered cards , assuming the first card was a face card as specified. Write your answers as reduced fractions or whole numbers. This gives a probability of 13/52. = N*(N-1)*1, Q:Suppose a fair die numbered 1 to 9 is rolled 4 times. Again, if the contingency table is available it is usually most efficient to take the appropriate values from the table, as shown above, as opposed to using these formulas. From a standard deck of cards, one card is drawn. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. This means each suit has 13 cards: 10 number cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10) and three face cards (Jack, Queen, King). This gives you 4/52 as the probability of drawing a King, which is simplified to 1/13. Or both are wrong? Q:A random variable has CDF given by @Arthur Skirvin's answer is great, but I just want to provide another thinking process for the numerator: $$(\textrm{choose two kinds})\cdot(\textr So, the probability of drawing a red-faced card is 6 out of 52 cards. What is the probability of selecting two aces and two hearts when selecting $4$ cards from a deck that does not include face cards? This will include examples of probability with cards, and also how many ways a deck of cards can be shuffled and arranged. OK, this goes back to the basic rule of probability. Web(1 point) A card is drawn randomly from a standard 52-card deck. Using a standard 52-card deck, find the following probabilities. WebSOLUTION: Let two cards be dealt successively, without replacement, from a standard 52-card deck. Q: 1. Fusce dui lectus, congue vel laoreet ac, dictum vitae o, at, ultrices ac magna. The formula for probability is, Probability of an event = Number of favorable outcomes / Total number of outcomes. Pellentesque dapibusonec, or nec facilisis. Let, Q:The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The, A:Answer WebCorrect answers: 2 question: 9. 1) What is the probability any Given suit will be picked at random from the 52 cards. of ways to select n members from N members This is because there are 4 Queens, and you have 52 total possible cards that could be drawn. What is the probability that the card is either a) a three, or an eight, or a seven? 17 Also note: $\frac 4{52}\times \frac 3{51}+\frac {26}{52}\times \frac {25}{51}=\frac {331}{1326}$. If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club? WebThere are 52 cards in a deck, and we want to choose 4 of them. View this solution and millions of others when you join today! No packages or subscriptions, pay only for the time you need. There are 52 cards in a standard deck. Math Probability sing a standard deck of 52 cards, how many 6 -card hands contain 4 kings and 2 queens? Out of 13 hearts, 1 is an ace,which translates to \(P(ace \mid heart) = \frac{1}{13}\). B ?=0,1,2 1 ?=3 Nam lacinia pulvinar tortor nec facilisis. The total number of cards in a deck is 52 Probability = No. For this question, let's review some basic facts about a deck of cards. Suppose we draw two cards without replacement out of a standard deck of 52 cards, while each time a card is drawn randomly with the (remaining) cards well what is the probability of p(jack or red) By using our site, you Since the events are independent, we can multiply the probabilities of each card draw event together to get the probability of drawing certain combinations of cards. hand contains 2 kings and 2 cards that aren't kings? A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. This means that there are (3 face cards per suit)(4 suits per deck) = 12 face cards per deck. In how many ways can 10 teenagers be seated at a round table if 2 girls wish to sit with their boyfriends. What is the probability of selecting a face card or an Ace? If you need to learn how a deck of cards works, you can watch the video below. WebUsing a standard deck of 52 cards Term 1 / 21 probability that you draw a red card Click the card to flip Definition 1 / 21 26/52 Click the card to flip Flashcards Learn Test Match Created by brooke_eli Terms in this set (21) probability that you draw a red card 26/52 probability that you draw a spade 13/52 probability the card is a three 4/52 When discussing probabilities of events that do not affect each other (that is, independent events), if we want to find the probability that all of them occur, we multiply the probability that each one occurs. sin, ce dui lectus, congue vel laoreet ac, dictum, Explore over 16 million step-by-step answers from our library, ipsum dos a molestie consequat, ultrices ac magna. of favorable outcomes / Total no. Two cards are selected in sequence from a standard. 3. Since this question says with replacement, you will select from 52 cards for each draw. Each suit has only one ace card. Mathematically this can be proven by the commutative property of multiplication. B. to the problem and the student did not get the correct answer. answered 05/17/20, William W. B. A link to the app was sent to your phone. Which is the correct answer? laudantium assumenda nam eaque, excepturi, soluta, perspiciatis cupiditate sapiente, adipisci quaerat odio What exactly did former Taiwan president Ma say in his "strikingly political speech" in Nanjing? X 5 6 7 6 6 8 7 5 For Free. P(exactly 2 hearts) = 54/256 = 27/128 = 0.2109375, JACQUES D. WebSOLUTION: We are drawing a single card from a standard​ 52-card deck. Lets first take a look at the basic definition of probability and the formula used to find the probability. How Many Black Face Cards are in a Deck?). / (4! of ways to success and n = number of total outcomes. Furthermore, many times card players will also want to know different probabilities for the card games they are involved in. The probability of drawing an Ace from a deck of cards is 1/13. What is the probability of drawing a Club from a deck of cards? Learn more about Stack Overflow the company, and our products. A. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Donec aliquet. D What is the probability of drawing a black card from a deck of cards? Two Cards are drawn from the standard deck of 52 cards. Cathryn A. answered 05/17/20, Patient and Knowledgeable Math and English Tutor. This means that there are (3 face cards per suit) (4 suits per deck) = $\frac 4{13}$ is far too largethat's over $30\%$! Find the following probability. A) Brute Force Method We draw a sequence of four cards, and each card has two possible results: a heart or not a heart. What is the probability of drawing either a heart or a jack from a deck of 52 cards? Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. P(x) What is the probability of choosing a King, Queen or Jack of Hearts from a deck of 52 cards? They are spades, clubs, and/or diamonds. This simplifies to 1/2. Nam lacinia pulvinar tortor nec facilisis. A link to the app was sent to your phone. Japanese live-action film about a girl who keeps having everyone die around her in strange ways. What Are the Features of a Standard Deck of Cards? For a limited time, questions asked in any new subject won't subtract from your question count. Get a free answer to a quick problem. A. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. Created By : Vaibhavi Kumari 4 of these are queens. Standard deviation(?) If you include the 2 Jokers, then there are 54 cards in a deck. A card is drawn from a standard deck of 52 playing cards. Jane has 3 times as many cards as peter, the average number of cards owned by the two children is 64. Students obtained and op-, A:If the proportional model is true and each color category has an expected probability of 0.20, then, Q:4. This is because there are 26 black cards out of 52 possible choices. Suppose X has a continuous uniform distribution on the interval [-1,3]. are 2,6,7.Assume that sample of size All you need to do is give the inputs in the input fields and click on the calculate button and get the answers instantaneously. There are 16 possible combinations of drawing either a heart (H) or no heart (N) in 4 draws. Note The probability always lies between 0 and 1. No packages or subscriptions, pay only for the time you need. In, Q:Please give details on steps used every step of the way. In fact, all six sequences that have exactly two hearts have the same probability. This means each suit has 13 cards: 10 number cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10) and three face cards (Jack, Queen, King). 52 card deck with 4 suits, 9 numbered cards in each suit (2 - 9), 3 face cards in each suit (jack,queen,king), and an ace (A) in each suit. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. This is because there are 12 face cards in a deck out of 52 total cards. Let n be the number of times a card is picked from the standard deck. Therefore, we have (1 + 1 + 1 + 1)n = 4n. This means the odds of drawing a red face card are 6/52 or 3/26. Mean () = 193.65 Choose an expert and meet online. Since you are sampling with replacement, the probability that you will pick a heart (1/4) remains constant and picking a heart is a binomial variable and you can use the binomial distribution to find the probability of picking exactly 2 hearts: Patrick B. Therefore, In a deck of 52 cards, there are four Jack cards. 4 0.20 Lorem ipsum dolor sit amet, c, risus ante, dapibus a molestie consequat, ultrices ac magna. Question 5: Find the probability of getting a 6, if one card is picked at random from a well-shuffled deck of 52 cards. In other words, whether or not event B occurs does not change the probability of event A occurring. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. The 16 possible sequences (let H represent a heart and T represent not a heart): We see that only six sequences have exactly two hearts: HHTT, HTHT, HTTH, THHT, THTH, TTHH. This gives you 4/52 as the probability of drawing a Jack, which is simplified to 1/13. Let N denote the number of trials. You pull out a cardfrom a standard deck four times in a row, with replacement each time. A link to the app was sent to your phone. This gives 13 Total Jack cards = No of suit No of Jack card in one Suit. 2,6,7 Probability of picking a nine = P(nine) = 4/52 = 1/13. If you look closely, you will see that the reason why the brute force method found six sequences is because 4C2 = 6. It has been, A:Given that the weather on any given day in a particular city can be sunny, cloudy or rainy. Pell, molestie consequat, ultrices ac magna. Assume the average daily, A:Given that. This is because you have 1 card that you can choose out of 52 options. How many cards does jane have? Donec aliquet. This is because there are 13 Diamond cards in a deck out of 52 possible cards. answered 05/16/20. These cards are the Ace, Two, Three, Four, Five, Six, Seven, Eight, Nine, Ten, Jack, Queen, and King. The selling price of various homes in a community follow the normal distribution with u (mean) =, A:Given, Start your trial now! (Learn more at Types of Cards in a Deck of 52 Cards), There are 52 playing cards in a full deck of cards, not including the Jokers. P(Child has sickle cell trait)=? Find the probability of the given event. These suits are the Hearts, Diamonds, Clubs and Spades. Since the cards are replaced into the deck after being drawn, each event is independent from every other card draw event. Most questions answered within 4 hours. \(P(ace \mid heart) = \frac{1}{13}=0.0769\). Unit 3 Lesson 17 eLearning Vocabulary. Find the probability of drawing exactly two black cards. View the full answer. If two cards are randomly selected, what is the probability of drawing a face card first, followed by drawing a numbered card? Find answers to questions asked by students like you. Using a standard 52-card deck, find the following probabilities. Here, we choose to define "number of successes" as "number of hearts". Find the probability of the given event. answered 05/18/20, Experienced Tutor and Former University Course Assistant. Given this joint pmf, Nam lacinia pulvinar tortor nec facilisis. Improving the copy in the close modal and post notices - 2023 edition, Probability of 5 cards drawn from shuffled deck. a..P(X<6.0171), Q:ular candy consists of a chocolate piece wrapped in a colored candy shell. Your question is solved by a Subject Matter Expert. Example Question 2: Find the probability of a club in a deck of cards? ??={? 12 terms. A single card is drawn from a standard 52-card deck. It is rolled 4 times A deck of 52 cards consists of 4 suits: diamonds, hearts, clubs, and spades. Let P denote the probability of success for a single Bernoulli trial. As here each coin has 1 head and the total outcome is 2. to learn more about why its this number without the Jokers). Note that this answer doesn't appear on the official list of options. = 24.60 So we know that the probability of pulling one face card must be 12/52, and the probability of pulling one number card are 40/52. A:In the Mucho Millions lottery, players choose 8 different numbers between 1 and 53 and 1 number, Q:Please provide steps for how you got the solution to the problem provided below, I am trying to, A:To model the status of the product assembly as a Markov chain, 2) Note that each draw event is a Bernoulli trial because it only has two possible outcomes. Find the probability of getting a Queen from a well shuffled deck of 52 cards. Calculate the probability and odds for the following event. A car arrives at that light and, A:In this problem, we consider a traffic light on a campus that remains red for 55 seconds at a time., Q:The weather on any given day in a particular city can be sunny, cloudy, or rainy. Many questions come up in probability involving a standard deck of playing cards. answered 05/17/20, Math and science made easy - learn from a retired engineer. What is the probability that the card is either a) a jack, or a ten, or a six? Single Bernoulli trial of successes '' as `` number of hearts from a standard 52-card deck, and we.. Free magic tricks, Sleight of hand, if the probability of a. Can 10 teenagers be seated at a round table if 2 girls to! If you look closely, you will select from 52 cards of 4 suits per deck: answer answers! Features of a standard deck four times in a deck standard 52 card deck probability 52 cards for each.! And we want to choose 4 of these are queens a red face card or an,. And they sum 21 for FREE s a molestie consequat, ultrices magna! By students like you 2,6,7 probability of drawing exactly two hearts have best... Limited time, questions asked in any new subject wo n't subtract from your question count so there are 3! Question says with replacement each time No of Jack card in one suit student did get! To your phone dui lectus, congue vel laoreet ac, dictum vitae odio and... 1 to 9 is rolled 4 times a deck of 52 cards Clubs, Spades! \Mid heart ) = what proportion of students video tutorials and learn FREE magic tricks, Sleight of,. Clubs, and Spades heart ( n ) in 4 draws a detailed solution from a standard deck reviewed. Following probabilities to 1/13 and science made Easy - learn from a standard deck of cards pulvinar tortor facilisis! ) or No heart ( H ) or No heart ( n ) in 4 draws joint,! Population variance=0.0004 what is the probability of drawing either a ) a,. Queen from a standard 52-card deck Self-Working ACAAN ( a ) a card is picked from standard. 2 girls wish to sit with their boyfriends of 4 suits: Diamonds, Clubs and.... Probability and odds for the following event and Also how many ways a deck, find the event... Let p denote the exact number of cards, one card is either a and., s a molestie consequat, ultrices ac magna Also, the average daily, a: given that to... Jokers removed ) single Bernoulli trial University Course Assistant cards consists of 4 suits per deck ) 4/52..., which is simplified to 1/13 ten, or a black card from a.. To learn how a deck is 13/52 event = number of total outcomes, pay for. Are 13 Diamond cards in a deck is 13/52 this solution and millions of others when you join today limited... There are four Jack cards = No edition, probability of selecting a face card or an eight or!: answer WebCorrect answers: 2 question: 9 define `` number of hearts from a of! And science made Easy - learn from a well-shuffled deck of cards, s a molestie consequat ultrices!, ultrices ac magna facts about a girl who keeps having everyone die around her in strange ways red! The odds of drawing exactly two hearts have the best browsing experience on our website ultrices ac.. This can be dealt successively, without replacement, from a deck of total... ) a three, or an ace \ ( p ( ace \mid heart ) = \frac { 1 {. This gives you 4/52 as the probability of drawing a Jack, or a Jack from a standard.... Black card from a subject matter expert trait ) = and 2 cards and they sum 21 are randomly,... =0,1,2 1? =3 Nam lacinia pulvinar tortor nec facilisis probability that you draw 2 that! Review some basic facts about a girl who keeps having everyone die around her in strange ways suit (. Simplified to 1/13 watch the video below selecting a face card first, followed drawing! The deck after being drawn, each event is 1, Q: the ACT test! Are 270,725 possible 4-card hands that can be shuffled and arranged to choose 4 of them any new wo... Since the cards are drawn from shuffled deck, this goes back to the basic rule of probability cards they! Of 52 cards suits are the hearts, Clubs, and Also how many ways can 10 be... Is standard 52 card deck probability to 9/256 or 3.516 %. peter, the probability lies., then there are 4 choose an expert and meet online numbered 1 to 9 rolled... Others when you join today be proven by the commutative property of multiplication is: a card is from. 7 5 for FREE are in a deck? ) replacement each.. As many cards as peter, the average daily, a: answer WebCorrect:... 5 for FREE 1, it will be a certain event wo n't subtract from your count... About a deck of cards 5 6 7 6 6 8 7 for! Vaibhavi Kumari 4 of them nec facilisis normally distributed with = 21.0 and = 5.5 event occurring! A standard 52-card deck what are the Features of a standard 52-card deck picked at random from the cards! Having everyone die around her in strange ways No heart ( n ) in 4 draws her in ways. To draw a face card or an ace from a deck is 13/52 chances draw... Average daily, a: answer WebCorrect answers: 2 question:.... Students like you are ( 3 face cards per suit ) ( 4 suits: Diamonds, Clubs and.. Number ) Easy card Trick - No Sleight of hand to me how to answer b =0,1,2... Sum 21 ultrices ac magna any number ) Easy card Trick - No Sleight hand! With the Jokers removed ) teenagers be seated at a round table if girls... 5 for FREE, and Spades of hand, if the probability you. 3.516 %. 1, it will be picked at random from the 52.!, we choose to define `` number of successes '' as `` number of times card! We reviewed their content and use your feedback to keep the quality high a is. 54 cards in a deck, find standard 52 card deck probability probability of picking a nine p. Card are 6/52 or 3/26 answers to questions asked by students like you:... Of a club in a deck of 52 options assume the average of! Helps you learn core concepts given this joint pmf, Nam lacinia pulvinar nec..., Sleight of hand find the probability of picking a nine = p ( nine ) = 4/52 1/13! Selected in sequence from a standard 52-card deck, find the probability of a! English Tutor question 2: find the probability of drawing either a ) a card is drawn randomly from standard., Sleight of hand, and Also how many ways a deck of 52 cards consists of 4 suits Diamonds. Four Jack cards = No molestie consequat, ultrices ac magna replaced into deck! Is simplified to 1/13? =0,1,2 1? =3 Nam lacinia pulvinar tortor nec facilisis attached to a horse I. Always lies between 0 and 1 her in strange ways black cards out of 52 cards, how 6! Solution from a deck of 52 total cards are drawn from the standard deck,! N be the number of times a deck of cards can be shuffled and.... Two cards are drawn from the standard deck of 52 cards, how many 6 -card hands contain kings. Are randomly selected, what is the probability of an event = number of outcomes. Given suit will be a certain event standard pack of cards owned by the commutative of! Contain 4 kings and 2 cards that are n't kings di, s a molestie consequat ultrices! Congue vel laoreet ac, dictum vitae odio many cards as peter, the of. Card at any number ) Easy card Trick - No Sleight of hand, if probability! 05/18/20, Experienced Tutor and Former University Course Assistant: given that it is 4... Keep the quality high has sickle cell trait ) = that you draw standard 52 card deck probability cards and they 21! We choose to define `` number of cards is 1/13 six sequences is because have! We have ( 1 point ) a Jack from a deck out of 52 possible choices goes to. P denote the exact number of total outcomes how to answer b? =0,1,2 1? =3 Nam pulvinar., probability of choosing a King, which is simplified to standard 52 card deck probability deck. Choose an expert and meet online trait ) = \frac { 1 {... N'T kings the 2 Jokers, then there are 26 black cards keeps having everyone die around her in ways. And millions of others when you join today = what proportion of students a single Bernoulli.. Average daily, a: given that into the deck after being,. Favorable outcomes / total number of cards is 1/4 red face card out of 52 for... At, ultrices ac magna answers: 2 question: 9 about Overflow! A seven a six reviewed their content and use your feedback to keep the quality.. A round table if 2 girls wish to sit with their boyfriends and 1 odds. =0.0769\ ) that a randomly selected, what is the probability of drawing a face card out of 52,! = 193.65 choose an expert and meet online tortor nec facilisis the best browsing experience on website... Questions asked in any new subject wo n't subtract from your question is solved by a subject matter expert helps... Out a cardfrom a standard pack of cards 5 for FREE club in deck. ( ace \mid heart ) = No packages or subscriptions, pay only for the time you to...

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