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

You are given the information thatP(A) = 0.30 andP(B) = 0.40.

(a) Do you have enough information to computeP(A or B)? Explain.

No. You need to know the value ofP(A) +P(B).

No. You need to know the value ofP(A and B).

Yes. This probability is equal to 0.70.

No. You need to know the value ofP(A) -P(B).

(b) If you know that eventsAandBare mutually exclusive, do you have enough information to computeP(A or B)? Explain.

Yes.P(A and B) = 0, soP(A or B) =P(B) -P(A).

Yes.P(A and B) = 0.12, soP(A or B) =P(A) +P(B) - 0.12.

No. Knowing the events are mutually exclusive does not provide any extra information.

Yes.P(A and B) = 0, soP(A or B) =P(A) +P(B).

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