Suppose E:Even, O:Odd ,S:Sample Space of Natural Numbers
Example of such an mutually exclusive event is P(E)=P(O)=1/2
P(E)+P(O)=S(All Natural Numbers)=1
So Ans is
P(E)*P(O)= $\frac{1}{2}$* $\frac{1}{2}$=$\frac{1}{4}$
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Gatecse
^ go through