Question

(5 points) The probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%. What is the probability that a randomly selected day in April will be rainy or windy?

Answer 1

The probability that a randomly selected day in April will be rainy or windy is 0.62 or 62%.

Explanation:

We are given that the probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%.

And we have to find the probability that a randomly selected day in April will be rainy or windy.

Let the probability of rain on any day in the month of April = P(A) = 0.34

The probability of windy on any day in the month of April = P(W) = 0.38

The probability of both windy and rainy on any day in the month of April = P(R
`\bigcap` W) = 0.10

Now, the probability that a randomly selected day in April will be rainy or windy is given by = P(R
`\bigcup` W)

P(R
`\bigcup` W) = P(R) + P(W) - P(R
`\bigcap` W)

= 0.34 + 0.38 - 0.10

= 0.62 or 62%

So, the probability that a randomly selected day in April will be rainy or windy is 62%.