14
QuizMultiple Choice

Binomial Probability

Question 14 • College Prep Math B - IC26

Suppose that the probability a seed will germinate is 80%. What is the probability that 7 of these seeds will germinate when 10 are planted?

Answer
A
1.0068
B
25.17
C
120
D
0.201

Explanation

Use the binomial probability formula: choose which 7 of the 10 seeds germinate, then multiply by the probability of 7 germinating and 3 not germinating. This gives C(10,7) × 0.8⁷ × 0.2³ = 120 × 0.8⁷ × 0.2³ ≈ 0.201. The correct choice is 0.201.

AI-written and checked against the verified answer.

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