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Consider two independent and identically distributed random variables $X$ and $Y$ uniformly distributed in $[0,1]$. For $\alpha \in[0,1]$, the probability that $\alpha \max (X, Y)<\min (X, Y)$ is

1. $1 /(2 \alpha)$.
2. $\exp (1-\alpha)$
3. $1-\alpha$
4. $(1-\alpha)^{2}$
5. $1-\alpha^{2}$