Hi I have a probability question from my stochastic methods course. Please help =)

A casino has a game that makes payouts according to a Poisson process

with rate 5 per hour. The payout amounts are 1; 2, 3, . . . without limit,

and the probability that any given payout is equal to i is $\displaystyle \frac{1}{2^i} $ Payouts are

independent. Calculate the probability that there are no payouts of 1 or

4 in a given 10 minutes period.