# Math Help - Probability Product

1. ## Probability Product

Let $X_{1}, X_{2}, \ldots, X_{n}$ be independent random variables. Show that $P(\max_{i} X_{i} \leq c) = \prod_{i=1}^{n} P(X_{i} \leq c)$.

So use expectation rules?

2. anyone?

3. $P(\max_{i} X_{i} \leq c) = P(X_{1} \leq c$ and $X_{2} \leq c$ and $\ldots)$

Now use independence.