Question #e236e

1 Answer
Douglas K.
Jun 8, 2017

Events A and B are not mutually exclusive, because the probability that both can happen simultaneously is #1/3#

Explanation:

Given: #P(A) = 1/2, P(B) = 2/3, and P(A uu B) = 5/6#

#P(A uu B) = P(A) + P(B) - P(A nn B)#

#5/6 = 3/6+ 4/6 - P(A nn B)#

#P(A nn B) = 2/6 = 1/3#

Events A and B are not mutually exclusive, because the probability that both can happen simultaneously is #1/3#

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