Events X and Y are such that P(X ) = 0.5, P(Y ) = 0.6 and P(X

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Events X and Y are such that P(X ) = 0.5, P(Y ) = 0.6 and P(X ∩ Y ) = 0.2.

a. State, giving a reason, whether events X and Y are mutually exclusive.

b Using a Venn diagram, or otherwise, find P(X ∪ Y ).

c. Find the probability that X or Y, but not both, occurs

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