Heheh, no it's not homework, I don't have to worry about that anymore. They are poker related questions. I used the race analagy at the start because I'm playing nine person tournaments. I want to know the answer to (1) and the workings behind it to see if I'm coming out above average. For question one you can it take that all 9 players(runners :)) are of equal skill.
Two questions: 1. If nine races were ran, each with a field of nine: What's the odds on finishing in the top 3 twice? 2. If you have a deck of 52 cards and you're dealt 2 (pokect)cards and 3 more are turned up on the table(flopped), what's the chance of pairing either of your pocket cards with the 3 on the table?