Question

Event A occurs with probability 0.6. Event B occurs with probability 0.4. If A and B...

Event A occurs with probability 0.6. Event B occurs with probability 0.4. If A and B are disjoint (mutually exclusive), then:

A.

P(A and B) = 0.24
B.

P(A or B) = 1.0
C.

P(A and B) = 1.0
D.

P(A or B) = 0.24
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Homework Answers

Answer #1

In probability theory, if two events are mutually exclusive then they can not occure at the same time or simultaneouly. In other words, mutually exclusive events are called disjoint events. If the two events are considered disjoint events, then the probability of both the events occurring at the same time will be Zero.

In the Given Question, A and B are the two disjoint or mutually exclusive events, then the probability of disjoint of events A and B is written as

P (A and B) = 0

In Probability, the specific addition rule is valid when two events are mutually exclusive. It states that the probability of either event occurring is the sum of probabilities of each event occurring.

Therefore, P(A or B) = P(A) + P(B) = 0.6+0.4 = 1

Therefore, Option B, P(A or B) = 1.0 is Correct Answer.

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