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## Homework Statement

When David goes fishing the probability of him catching a fish of type A is 0.45, catching a fish of type B is 0.75 and catching a fish of type C is 0.2.

David catches four fish.

If the event X is David catching two fish of type A and two other fish, the event Y is David catching two fish of type A and two of type B and the event Z is David catching at least one fish of type C, for each of the pairs of X, Y and Z state whether the two events are mutually exclusive, giving a reason.

## Homework Equations

## The Attempt at a Solution

Event X = P(A) x P(A) x P(A [itex]\cup[/itex] B) x P(A [itex]\cup[/itex] B)

Event Y = P(A) x P(A) x P(B) x P(B)

Event Z = P(C)