Answer:
the probability that 3 blue chips ( or red chips) are chosen is P(X=3) = 1/14
Step-by-step explanation:
Since the X= choosing x blue chips, then P(X) follows an hypergeometric distribution , when sampling is done without replacement
P(X=x) = (C,x) * (N-C , n-x) /( N ,n)
where ( ) represents combinations then
N= population size = 8 chips
n = sample size = 3 chips
C = number of blue chips = 4 chips
x= number of blue chips that are chosen = 3 blue chips
replacing values
P(X=3) = (4,3) * (8-4 , 3-3) /( 8 ,3) = (4,3) * (4 , 0 ) /( 8 ,3) = 4 * 1 / [ 8!/(3!*5!) ] =
4*3!*5! /8! = 1/14
P(X=3) = 1/14
