The Hiking Club plans to go camping in a state park where the probability of rain on any given day is 54%. What is the probability that it will rain on exactly zero of the
five days they are there? Round your answer to the nearest thousandth.
Mathematics

0.021

Step-by-step explanation:

Given that:

P(that it rains) = p(success) = p = 0.54

1 - p = 1 - 0.54 = 0.46

Number of trials = 5

Using the binomial probability distribution formula :

P(x = x) = nCx * p^x * (1 - p)^n-x

Probability that it rains on exactly 0 days :

P(x = 0) = 5C0 * 0.54^0 * 0.46^5

= 1 * 1 * 0.0205962976

= 0.0205962976

= 0.021

2nd one in the first row is correct