SOLUTION: If the probability of hitting a target on a single shot is 0.8, what is the probability that in 4 shots you will hit the target two times?

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Question 813311: If the probability of hitting a target on a single shot is 0.8, what is the probability that in 4 shots you will hit the target two times?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p= .8 & q = .2
nCx = n%21%2F%28x%21%28n-x%29%21%29
P(2 out of 4) = %284%21%2F2%212%21%29%28.8%29%5E2%28.2%29%5E2 = .1536