Attempt these tough probability questions and give correct answers only.

1. Illustrate the value of P(A B) given that P(A B) = 0.2 and P(A) = 0.4.

2. A tutor gave his 3 students, X, Y and Z a mathematical question to solve. P(X) is while represents the troubles of Y not solving the question. Determine the probability of solving the quiz given that for all the students combined it would be 6364.

3. Determine values of P that make F and G independent given that P(f) = 1/5 and P(F or G) = .

4. What is the equivalent of P(A /~B) in a mutually exclusive event given that P(b) equals a third and P(~A) equals five sixths.

5. Given that P(a) equals 0.2, P(b) equals 0.6 and P(A /B) equals 0.2. Solve for P(A /~B).

6. Example of mutually exclusive and independent events is one that hasP(a) > 0 & P(b) > 0. Determine the truth in this statement.

7. Determine the relationship between P(a) & P(b) given that for A to occur B has also to occur but not the other way round.

8. During a sample S denoted by P(a) = 0 it was determined that A does not depend on any other event. True or false?

9. If B A andA B, then?

10. Determine the equivalent of A B and illustrate.