If A and B are independent events, with P(A) = 0.50 and P(B) = 0.70, then the probability that A occurs or B occurs or both occur is:
A)1.20.
B)0.20.
C)0.85.
D)0.10.

Question

Quizplus · Accepted Answer

Since A and B are independent events, the probability of both occurring is the product of their individual probabilities, P(A ∩ B) = P(A) * P(B) = 0.50 * 0.70 = 0.35. The probability of A occurring or B occurring is the sum of their individual probabilities minus the probability of both occurring, P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.50 + 0.70 - 0.35 = 0.85. Therefore, the probability that A occurs or B occurs or both occur is 0.85.

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