3
QuizMultiple Choice

Binomial Probabilities

Question 3 • NC-Math 4

A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line. Assuming that field goal attempts can be considered random events, what is the probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line?

Answer
A
0.08
B
0.13
C
0.31
D
0.39

Explanation

Use the binomial probability for exactly 4 makes in 5 attempts: there are 5 ways to choose which attempt is missed. Thus, the probability is 5 × (0.85)^4 × (0.15) ≈ 0.3915, which rounds to 0.39. The correct choice is 0.39.

AI-written and checked against the verified answer.

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