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?

Question

Mathematics

Nayeli Mcintosh

31 July, 05:05

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?

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Answers (1)

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Nehemiah Gordon · Answer 1

0.75

Step-by-step 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