SOLUTION: There are 8 action, 3 romantic comedies, and 5 children's DVDs on a shelf. Suppose two DVDs are selected at random from the shelf. Find each probability that 2 action DVD's are

Algebra ->  Probability-and-statistics -> SOLUTION: There are 8 action, 3 romantic comedies, and 5 children's DVDs on a shelf. Suppose two DVDs are selected at random from the shelf. Find each probability that 2 action DVD's are       Log On


   



Question 1201445: There are 8 action, 3 romantic comedies, and 5 children's DVDs on a shelf. Suppose two DVDs are selected at random from the shelf. Find each
probability that 2 action DVD's are selected, if replacement occurs

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

Total DVDs = 8 + 3 + 5 = 16.


The probability that one randomly selected DVD is an "action" DVD is  8%2F16 = 1%2F2.


With replacement, the probability that two randomly selected DVDs are  "action" DVDs is  


    %288%2F16%29%2A%288%2F16%29 = %281%2F2%29%2A%281%2F2%29 = 1%2F4 = 0.25 = 25%.   ANSWER

Solved.