If A and B are independent events with P(A)= 0.60 and P(B)= 0.70,then the probability that A occurs or B occurs or both occur is:
A)1.30
B)0.88
C)0.42
D)0.10

Question

Quizplus · Accepted Answer

When dealing with the probability of A or B or both occurring, we use the addition rule for independent events: P(A or B) = P(A) + P(B) - P(A and B). Since A and B are independent, P(A and B) = P(A) * P(B) = 0.60 * 0.70 = 0.42. Therefore, P(A or B) = 0.60 + 0.70 - 0.42 = 0.88. Thus, the best choice is B with a probability of 0.88.

If a and B Are Independent Events with P(A)= 0