Question

Suppose you draw 8 cards out of a well-shuffled deck of 52 cards, and one-by-one with...

Suppose you draw 8 cards out of a well-shuffled deck of 52 cards, and one-by-one with replacement and note the number of spades, say, X, that you obtain.

The above experiment

is a Binomial experiment with n = 52 and p = 0.25

is a Binomial experiment with n = 13 and p = 0.25

is a Binomial experiment with n = 8 and p = 0.25

is not a Binomial experiment since the draws are not independent

is not a Binomial experiment since the chance of drawing a spade is not fixed

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Answer #1

Here, n=8

P(getting a spade) =

Since we are sampling wit replacement, so the probability of getting a spade in each draw remains same and all the draws are independent.

Hence this is a Binomial experiment with n=8 and p=0.25.

Hence 3rd option is the correct option.

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