The problem says:

Let be independent events. Show that the probability that none of the occur is less than or equal to exp(- .

I'm confused at where the inequality and the exponent are coming from.

Here is what i've done.

I figured that the P(none happening) = 1 - P(one happening)

P(one happening) = .

Then, P(none) = 1 - .

I think this is right, but where to go from here, I'm not sure.

Thank you!