Question

A dealer in the Sands Casino in Las Vegas selects 40 cards from a standard deck of 52 cards. Let Y be the number of red cards (hearts or diamonds) in the 40 cards selected. Which of the following is best describes this setting?

a. Y has a binomial distribution with n= 40 observations and probability of success p= 0.5.
b. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided the deck is shuffled well.
c. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.
d. None of these.

Answer 1

c. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.

Explanation:

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