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1. Smallest p for triple intersection ●●●○○ 50 ptsLet events $A$, $B$ and $C$ satisfy $P(A)=P(B)=P(C)=p$. Find the infimum of the values of $p$ for which $P(A\cap B\cap C)>0.95$ holds for every possible joint distribution of $A$, $B$ and $C$. Round to four decimal places.