Explore BrainMass

# Probabilities : Set Theory

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Please see the attached file for full problem description with proper symbols.

---
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

#### Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

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.

\$2.49