You have a standard deck of cards. You divide this deck in half by selecting uniformly at random 26 of the deck’s 52 cards and placing them in your left hand. You hold the remaining 26 cards in your right hand. Prove that the expected number of aces in your right hand is 2.

Q: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

A:

Q: A monkey is given 12 blocks: 3 shaped like squares, 3 like rectangles, 3 like triangles, and 3 like…

A: Total blocks = 12  Square = 3  Rectangle = 3  Triangle = 3  Circles= 3  Order matters  If it draws…

Q: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

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Q: Find the probability of selecting  4  science books and  5  math books from  7  science books and…

A: The total number of science books is 7 and the total number of math books is 9.

Q: Determine the probability of drawing an ace from a full pack of cards.

A:

Q: Ruben is packing school lunches for his two daughters. In his fruit bowl, he has 4 red apples, 2…

A: Given that, Ruben is packing school lunches for his two daughters. In his fruit bowl, he has 4 red…

Q: what is the probability that 2 will have no checkup, 3 will have 1 checkup, and 2 will have 2…

A: The probability that a person will have 0, 1, or 2 dental checkups a year is 0.24, 0.51, and 0.25…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: A resturant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. the…

A: Odds in favour: The odds in favour of the event is given by the ratio of the probability of the…

Q: Pablo randomly picks three marbles from a bag of ten marbles (six red ones, three green ones, and…

A:

Q: You are dealt a hand of 13 cards, find the probability that you have 4 hearts, 3 spades, 5 diamonds…

A: Given that  Total number of cards=52 Number of hearts cards=13 Number of spades cards=13 Number of…

Q: The probability of being dealt a hand containing 3 spades, 4 hearts, 2 diamonds, and 2 clubs is.…

A: Here use hypergeometric distribution

Q: Three people are selected randomly from a group consisting of 5 parents and 9 children. Find the…

A: Ans# - Given three people are selected randomly from a group consisting of 5 parents and 9 children.…

Q: In a card game, there are 15 cards laid out on a table. 6 of the cards are blank, 2 of the cards are…

A: Here, we use the expected value and probabilty for the purpose of knowing the variables probability…

Q: Find the probability that you will draw the 2 of diamonds first, 6 of hearts second, ace of spades…

A: The number of cards in a deck of cards is 52.

Q: Meredith draws a six from a standard deck of 52 cards. Without replacing the first card, she then…

A:

Q: Find the probability of winning second prize—that is, picking five of the six winning numbers—with a…

A: We can select any 6 numbers from 54 numbers in 54C6 ways. (this is the total number of ways)   We…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: In a drawer, there are 13 pairs of socks, 10 of which are white, and 8 t-shirts, 5 of which are…

A: Here in a drawer there are 13 pairs of shock from which 10 are white. 8 t-shirts from which 5 are…

Q: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards…

A: The total number of outcome is 52 and select the 4 cards all 4 cards are queens.

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: In deandres cooler there are 5 bottles of soda and 4 bottles of water. Deandre is going to choose 5…

A: Probability is equal to the number of favorable outcomes divided by the total number of possible…

Q: Three cards are selected at random from the standard pack of 52 cards. Find the probability that 2…

A: Solution-: We find probability that 2 jacks when 3 cards are selected at random from the standard…

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 jacks; (b) 3 clubs and…

A: Given that ,In a poker hand consisting of 5 cards .We have to find the probability of holding(a) 3…

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of…

A: Let us denote R=Red, W=white, B=blue   There are 3 bowls So, P(X)=13, P(Y)=13, P(Z)=13P(B or…

Q: A pet store has 10 puppies, including 4 poodles, 2 terriers, and 4 retrievers. If Rebecka selects…

A:

Q: It costs $6.75 to play a very simple game, in which a dealer gives you one card from a deck of 52…

A: The cost of the game is $6.75.

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: Tom buys a bag of cookies that contains 9 chocolate chip cookies, 9 peanut butter cookies, 4 sugar…

A: Given,no.of chocolate chip cookies=9no.of peanut butter cookies=9no.of suger cookies=4no.of oatmeal…