Question

On a given Monday, the probability of rain is 0.72, the probability that the maximum temperature for the day will exceed 75°F is 0.84, and the probability that it will rain and that the maximum temperature will exceed 75°F is 0.64. What is the probability that it will rain or the maximum temperature will exceed 75°F?

Answer 1

.92

Explanation:

Using the addition rule for probability, P(A B) = P(A) + P(B) – P(A ∩ B), gives us this answer.

Answer 2

we know that
the addition rule states that
P(A or B) = P(A) + P(B) − P(A and B)
in this problem
P(A)=0.72
P(B)=0.84
P(A and B)=0.64
so
P(A or B) = P(A) + P(B) − P(A and B)-----> 0.72+0.84-0.64
P(A or B) = 0.92

the answer is
0.92 (92%)