SOLUTION: A batch of 10 gaskets contains 4 defective gaskets. If we draw samples of size 3 without replacement, from the batch of 10, find the probability that a sample contains 2 defective

Algebra ->  Probability-and-statistics -> SOLUTION: A batch of 10 gaskets contains 4 defective gaskets. If we draw samples of size 3 without replacement, from the batch of 10, find the probability that a sample contains 2 defective       Log On


   

Question 835843: A batch of 10 gaskets contains 4 defective gaskets. If we draw samples of size 3 without replacement, from the batch of 10, find the probability that a sample contains 2 defective gaskets.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 8 ways to choose 3 gaskets (N-no defect, D-defect)
NNN
NND
NDN
NDD
DNN
DND
DDN
DDD
Three have 2 defective gaskets (NDD,DND,DDN) and their probabilities would be
P=%284%2F10%29%284%2F10%29%286%2F10%29=0.096
Then for all three cases,
P=3%280.096%29=0.288