Question

If there is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow, what is the probability that it rains at least one of the days?

Answer 1

0.75

Explanation:

Given that there is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow

We find that these two events are independent

A = rains today and B = rains tomorrow

A and B are independent

So we have

P(AB) =P(A)P(B)

the probability that it rains at least one of the days

= P(A or B) =P(A)+P(B)-P(AB)

=0.5+0.5-0.5(0.5)

=0.75