Mathematics Homework Help

Insomnia Cookies is running a special campaign where they give out free cookies. An eager
volunteer handed out 12 tickets to 12 BU students, and each ticket can be redeemed for a free cookie.
Suppose that Insomnia Cookies only baked 10 cookies and each of the 12 students shows up to redeem
their ticket with probability 0.85, independently of the other students. Find the probability that there is at
least one student who shows up to redeem their ticket but the cookies have already run out.