Question

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.

Answer 1

The events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)

Why are the events not mutually exclusive?

The probability values are given as:

P(A) = 0.3

P(B) = 0.6

P(A or B) = 0.8

For mutually exclusive events, we have:

P(A or B) = P(A) + P(B)

Substitute the known values in the above equation

P(A or B) = 0.3 + 0.6

Evaluate the sum

P(A or B) = 0.9

From the given parameters, we have

P(A or B) = 0.8

Hence, the events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)

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