Did I prove this statistics question correctly?

Asked Oct 15 '13 at 17:22

Active Oct 15 '13 at 17:22

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The question is Suppose A and B are two independent and disjoint events. Suppose P{B} = 1/2. What is P{A}? Prove your answer

My attempted solution:

Since they are independent then P{AB} = P{A}P{B}, Now since they are also disjoint we must satisfy the condition P{AB} = 0, so therefore P{A} must be 0 in order for the rules to hold for both independent and disjoint events.

I don't like that I got 0 is this correct?

asked Oct 15 '13 at 17:22

Andy

The conclusion and method are correct. – André Nicolas Oct 15 '13 at 17:27
@AndreNicolas Thank you I thought it was strange that the probability was zero. – Andy Oct 15 '13 at 17:27
Independence and disjointness are "almost" incompatible. – André Nicolas Oct 15 '13 at 17:29
@AndreNicolas Ahh I didn't think about that. Thank you! – Andy Oct 15 '13 at 17:43

Did I prove this statistics question correctly?

0 Answers0