Re: probability
- From: "dvsarwate@xxxxxxxxx" <dvsarwate@xxxxxxxxx>
- Date: 28 Jan 2007 14:41:49 -0800
On Jan 28, 9:17 am, AP wrote:
Does anyone know
3 events A,B,C such that
1) P(A inter B inter C)=P(A)P(B)P(C)
2) P(A inter B)=/= P(A)P(B)
or P(A inter C)=/= P(A)P(C)
or P(B inter C)=/= P(B)P(C)
3) A,B,C are not empty or not all possible outcomes
Sounds like a nice homework problem, but here goes.
Consider a fair tetrahedral die with faces marked 2, 3, 5, 30.
Roll the die and define events A, B, C, respectively as the
number on the face on the bottom is a multiple of 2, 3, 5.
.
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