Question

If the event A has a probability of 0.35 to occur and event B has a probability of 0.5 to occur, and they are disjoint, what is the probability that A or B will occur?

Answer 1

The probability that either event A or event B will occur, given that they are disjoint, is 0.85.

Step-by-step explanation:

If events A and B are disjoint, it means that they cannot occur at the same time; that is, P(A AND B) = 0. To find the probability that either A or B will occur, we use the formula P(A OR B) = P(A) + P(B) - P(A AND B). Given P(A) = 0.35 and P(B) = 0.5, and that A and B are disjoint, we can calculate:

P(A OR B) = P(A) + P(B) - P(A AND B) = 0.35 + 0.5 - 0 = 0.85.

Therefore, the probability that either event A or event B will occur is 0.85.