Question

Choose whether the probability is mutually exclusive or not

Answer 1

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

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

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

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Events are mutually exclusive when they can never happen at the same time. That is, P(A and B) = 0.

The events A and B are mutually exclusive.