forty tickets are sold for a raffle with two prises. you buy two tickets. what is the probability that you will win both prises
So you have a 1/20 chance to win one prize, with 2 tickets and 1/40 chance to win one prize with one ticket
Using that same chance, you will have 2/80 or 1/40 chance of winning both with 2 tickets.
the probability of winning on the first ticket is \(2\over 40\)
the probability of wining on the second one is \({2-(1) \over 40-(1)}={1\over39}\)
the probabiity of winning on the both is \(\frac{2}{40}\times\frac{1}{39}=\frac{1}{780}=0.00128205\dots\)