Question

if the probability that it will snow on Monday is 8/9 and the probability that it will snow on Tuesday is 3/16, find the probability that it does not snow either day.

Answer 1

Let's define:

A: it will snow on Monday, P(A) = 8/9

B: it will not snow on Monday, P(B) = 1 - P(A) = 1 - 8/9 = 1/9

C: it will snow on Tuesday, P(C) = 3/16

D: it will not snow on Tuesday, P(D) = 1 - P(C) = 1 - 3/16 = 13/16

Given that both events are independent, then the probability that it does not snow either day is:

P(B)*P(D) = 1/9*13/16 = 13/208 = 1/16