Probability of winning

Question

If I purchase 10 lottery tickets, with 44,020 prizes to be won and 1,100,000 total tickets sold, what are my odds of winning?

Answer 1

Assume that "winning" means getting one or more of the prizes.

You have about [(10)/(1,100,000)](44,020) = 40% probability of winning a prize from at least one of your tickets.

You odds on the ten-ticket bet are

P(win)/P(lose) = (0.4)/(1-0.4) = 0.4/0.6 = 2:3 .