Suppose that A & B are events in a sample space and that P(A) > (1/2) and P(B) > (1/2).

Prove that P(A "intersection" B) does not equal 0.

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- May 1st 2008, 02:30 PMccdelia7Events and Sample space
Suppose that A & B are events in a sample space and that P(A) > (1/2) and P(B) > (1/2).

Prove that P(A "intersection" B) does not equal 0. - May 1st 2008, 02:33 PMIsomorphism
- May 1st 2008, 02:42 PMPlato

Can you use that to finish? - May 1st 2008, 02:55 PMccdelia7
similar to:

limit as n approaches zero, we know that P( A intersection B) must be greater than zero, though it may be close ( as the aforementioned limit). And thus, we see that it also cannot equal zero!

I think I may have been a bit vague, but let me know if that sounds right.

I think I have the right approach now.

Thanks - May 1st 2008, 03:04 PMIsomorphism