# Probabilities : Set Theory

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Let A and B be two events such that

P(A) = 3/4 and P(B) = 1/3.

Prove that 1/12=<P(A intersection B)=<1/3 and give two examples where these limits are reached.

In the same way, find an interval for P(AUB) .

https://brainmass.com/math/discrete-math/probabilities-set-theory-13143

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Let A and B be two events such that

P(A) = 3/4 and P(B) = 1/3.

Prove that and give two examples where these limits are reached.

In the same way, find an interval for .

Proof. Since ,

(1)

...

#### Solution Summary

Set theory is used to prove probabilities. Examples are provided. The solution is detailed and well presented.

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