You are given the information that P ( A ) = 0.30 and P ( B ) = 0.40. (a) Do you

Question

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).Yes. This probability is equal to 0.70.    No. You need to know the value of P(A and B).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, 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) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).

Explanation / Answer

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).Yes. This probability is equal to 0.70.    No. You need to know the value of P(A and B).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, 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) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).

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