A raffle consists of 10 sheets with 10 numbers (1 to 10) on each sheet i.e. 100 chances in total. The draw is done by first selecting a sheet at random and then selecting the winning number out of the 10 from that sheet. If a person buys 10 tickets:
- puts his name on all 10 places on 1 sheet then the chances of winning is 1/10 x 10/10 = 10%
- puts his name once on each sheet then the chances of winning is 10/10 x 1/10 = 10%
I need to know what the chance of winning is if he randomly place his name 10 times across the ten sheets.
This is a binomial random variable problem.
Use the theorem nCk (p)^k (1-p)^(n-k)
Where p is probability of success.