Question 1. The events X and Y are mutually exclusive. Suppose P(X) _ .05 and P(Y) _ .02. What is the probability of either X or Y occurring? What is the probability that neither X nor Y will happen?

1. What is the probability of either X or Y occurring?

If events X and Y are mutually exclusive, then P(X or Y) = P(X) + P(Y)

P(X or Y)=      P(X) + P(Y)

P(X or Y)=      P(X) 0.05 + P(Y) 0.02

P(X or Y)=      0.07

1. What is the probability that neither X nor Y will happen?

Probability that neither X nor Y will happen= 1- P(X or Y)

=1-0.07

=0.93
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