You are given the information that P(A) = 0.30 and P(B) = 0.40.(a) Do you have enough information to compute P(A or B)? Explain.No. You need to know the value of P(A) + P(B).No. You need to know the value of P(A and B).    Yes. This probability is equal to 0.70.No. You need to know the value of P(A) - P(B).(b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.Yes. P(A and B) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(B) - P(A).    No. Knowing the events are mutually exclusive does not provide any extra information.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).

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Asked Mar 1, 2020
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You are given the information that P(A) = 0.30 and P(B) = 0.40.
(a) Do you have enough information to compute P(A or B)? Explain.
No. You need to know the value of P(A) + P(B).No. You need to know the value of P(A and B).    Yes. This probability is equal to 0.70.No. You need to know the value of P(A) - P(B).

(b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.
Yes. P(A and B) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(B) - P(A).    No. Knowing the events are mutually exclusive does not provide any extra information.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).
 
 
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