Question

An archer hits a bullseye 64% of the time. What is the probability the archer hits

the bullseye exactly 4 times during 10 total attempts?
a. 242
b. .365
C..077
d. 168

Answer 1

C. 0.077

Explanation:

Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 10, r = 4, p = 0.64, q = 0.36.

P = ₁₀C₄ (0.64)⁴ (0.36)⁶

P = 210 (0.64)⁴ (0.36)⁶

P = 0.077