A deck of cards is shuffled and dealt to four players, with each receiving 13 cards. Find: a. the probability that the first player holds all the aces; b. the probability that the first player holds all the aces given that she holds the ace of hearts; c. the probability that the first player holds all the aces given that she holds at least one; d. the probability that the second player holds all the aces given that he holds all the hearts.

Question

Mathematics

Cobweb

23 November, 09:34

A deck of cards is shuffled and dealt to four players, with each receiving 13 cards. Find: a. the probability that the first player holds all the aces; b. the probability that the first player holds all the aces given that she holds the ace of hearts; c. the probability that the first player holds all the aces given that she holds at least one; d. the probability that the second player holds all the aces given that he holds all the hearts.

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Answers (1)

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Kaiden Nunez · Answer 1

Answer: A. 4/52

B. 1/52

C. 4/42

D. 12/52

Step-by-step explanation:

A. Because there is 52 cards in a deck the answer will be out of 52. Since there is 4 aces in the whole deck the probability of player one getting all four aces is a 4/52.

B. Since there is 52 cards in a deck and only one ace of hearts it will be a probability of 1/52.

C. Since there are 52 cards in a deck the probability that they will hold an ace card is a 4/52 Bc there are four aces.

D. Because there are 52 cards in a deck, and 12 hearts in the deck in all they will have a chance of 12/52

You might need to simplify these fractions or convert to a percentage based on what your instructor wants.