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13 September, 21:20

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.

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  1. 14 September, 00:57
    0
    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
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