Question

the probability that it rains in a day is 0.2.what is the probability that there is rain in the next five days?​

Answer 1

Given:  the probability that it rains in a day is 0.2.

To Find : Probability that there is rain in the next five days ​

Solution:

probability that it rains in a day is p = 0.2.

=> probability that it does not rains in a day is q = 1 - 0.2 = 0.8

n = 5

P(x) = ⁿCₓpˣqⁿ⁻ˣ

probability that there is rain in the next five days  = 1  -  P(0)

P(0) = ⁵C₀(0.2)⁰(0.8)⁵⁻⁰

=>  P(0) = (0.8)⁵

probability that there is rain in the next five days  = 1  -  (0.8)⁵

= 0.67232

probability that there is rain in the next five days  =   0.67232

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