Question

Suppose you draw 8 cards out of a well-shuffled deck of 52 cards, and one-by-one with re-placement, consider X as the number of spades that you obtain. Which is the distribution of X?

Answer 1

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

Explanation:

It is given that we draw 8 cards out of the well shuffled deck of 52 cards one by one replacement.

Given :

`$n=8$`

P (getting a spade) =
`$(13)/(52)$`

= 0.25

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

Therefore it is a Binomial experiment with n = 8 and P = 0.25