Ask Question
15 May, 04:05

The probability of rain on any given day is 2/3. What is the probability of at most one day of rain during the next three days?

+1
Answers (1)
  1. 15 May, 05:52
    0
    7/27 ≈ 25.9%

    Step-by-step explanation:

    "At most one" means either exactly 0 or exactly 1.

    P (at most 1) = P (0) + P (1)

    Using binomial probability:

    P (r) = nCr pʳ qⁿ⁻ʳ

    P (0) = ₃C₀ (⅔) ⁰ (⅓) ³⁻⁰ = 1/27

    P (1) = ₃C₁ (⅔) ¹ (⅓) ³⁻¹ = 2/9

    So the probability that it rains on at most one day is:

    P (at most 1) = 1/27 + 2/9

    P (at most 1) = 7/27

    P (at most 1) ≈ 0.259
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The probability of rain on any given day is 2/3. What is the probability of at most one day of rain during the next three days? ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers