The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 69%. What is the probability that it will rain on at most one of the six days they are there? Round your answer to the nearest thousandth.

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1-p) ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69) ⁰ (1-0.69) ⁶⁻⁰ + ₆C₁ (0.69) ¹ (1-0.69) ⁶⁻¹

P = (1) (1) (0.31) ⁶ + (6) (0.69) (0.31) ⁵

P = 0.013