Problem:

A,B and C are three possible events. Pr(at least one event occurs) = 0.9. Pr(exactly two events occur) = 0.02. Pr(exactly one event occurs) = 0.36. If C and A, as well as C and B are mutually independent, what is Pr(C)?

Question:

I found Pr(A and B and C)=0.52.

Then C-AC-BC=0.9-A-B+(A and B)-.52

C(1-A-B)=0.38-(A or B)

I'm getting stuck here on this step. I would appreciate your help.

A,B and C are three possible events. Pr(at least one event occurs) = 0.9. Pr(exactly two events occur) = 0.02. Pr(exactly one event occurs) = 0.36. If C and A, as well as C and B are mutually independent, what is Pr(C)?

Question:

I found Pr(A and B and C)=0.52.

Then C-AC-BC=0.9-A-B+(A and B)-.52

C(1-A-B)=0.38-(A or B)

I'm getting stuck here on this step. I would appreciate your help.

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