Question

If the probability of rain is 0.75​, the probability of fog is 0.25​, and the probability of rain and fog is 0.25​, what is the probability of rain or​ fog?

Answer 1

`P(A \cup B) = 0.75`

Explanation:

There are two scenarios:

A - Rain

B - Fog.

The probability of rain or fog is determined by the Addition Rule, given that A and B are not mutually excluyent:

`P(A\cup B) = P(A) + P(B) - P(A\cap B)`

`P (A\cup B) = 0.75 + 0.25 - 0.25`

`P(A \cup B) = 0.75`