2
ALMultiple Choice

Binomial Probability

Question 2 • College Prep Math B - IC26

Which of the following represents the probability of 3 successes in 5 trials?

Answer
A
3C5P(S)3P(F)5
B
5C3P(S)3P(F)2
C
3C5P(S)2P(F)5
D
5C3P(S)3P(F)5

Explanation

For exactly 3 successes in 5 trials, choose which 3 of the 5 trials are successes: 5C3. The probability of those outcomes is P(S)^3P(F)^2, since the remaining 2 trials are failures. Thus the expression is 5C3 P(S)^3 P(F)^2, choice B.

AI-written and checked against the verified answer.

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