Question

Suppose A and B are two independent events, associated with a random experiment. If the probability of occurrence of either A or B equals 0.6; while probability that only A occurs equals 0.4, then determine the probability of occurrence of event B.

07 Aug 2023
Answer :
Word Count : 423

Let's denote the probability of event A occurring as P(A) and the probability of event B occurring as P(B). Given that A and B are independent events, we know that the probability of both A and B occurring is the product of their individual probabilities, i.e., P(A ∩ B) = P(A) * P(B).

We're given the following information:

1. P(A ∪ B) = 0.6 (the probability of either A or B occurring)

2. P(A only) = 0.4 (the probability that only A occurs)

We can use these two pieces of information to determine the probability of event B occurring.

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