SOLUTION: The probability that a baseball game will go into extra innings is 16%. What is the probability that two of three baseball games will go into extra innings?

Question 1139772: The probability that a baseball game will go into extra innings is 16%. What is the probability that two of three baseball games will go into extra innings?
Found 2 solutions by ikleyn, rothauserc:
Answer by ikleyn(52905) (Show Source): You can put this solution on YOUR website!
.

= = 0.064512 = 6.4512%. ANSWER

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Use the Binomial Probability formula
:
Probability (P) (k successes in n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)
:
For this problem, n = 3, k = 2, p = 0.16
:
P( 2 games go to extra innings out of 3 games) = 3C2 * (0.16)^2 * (1-0.16)^(3-2) = 0.0645 = 6.45%
:

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