Question

a set of 10 cards consists of five red cards and five black cards. the cards are shuffled thoroughly. one card is selected at random. the color is observed and the card replaced in the set. the cards are then thoroughly reshuffled. this selection procedure is repeated four times. let x

Answer 1

Answer: The binomial distribution with n = 4 and p = 0.5

Explanation:

They re 10 cards consisting of 5 red cards and 5 black cards which are shuffled thoroughly and choosing at random. After choosing the cards are replaced back.

The probability of choosing a red card = number of red cards / total number of cards = 5 / 10 = 0.5

The probability of choosing a black card = number of black cards / total number of cards = 5 / 10 = 0.5

Since after choosing, the cards are replaced back and shuffled making the next draw independent of the previous draw repeated four times. This is a binomial distribution with n = 4 and p = 0.5

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