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The events AA  and BB  are mutually exclusive. Suppose P(A)=0.22P(A)=0.22  and P(B)=0.25.P(B)=0.25. What is the probability of either AA...

The events AA  and BB  are mutually exclusive. Suppose P(A)=0.22P(A)=0.22  and P(B)=0.25.P(B)=0.25.

What is the probability of either AA or BB occuring? (Round your answer to 2 decimal places.)

What is the probability that neither AA nor BB will happen? (Round your answer to 2 decimal places.)

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Answer #1

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

                = 0.22 + 0.25 - 0

                = 0.47

b) P(neither A nor B) = 1 - P(A or B)

                                  = 1 - 0.47

                                  = 0.53

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