1) At the casino you can play the game of Keno (similar to the "lottery" problem); where 80 balls are in an urn, 20 balls are required for the jackpot, and 20 balls are drawn overall. Additionally there are "winning" payouts if you pick: 0,1,2,7,8,9,10,11,12,13,14,15,16,17,18,19, or 20 correct.
You receive no payout for 3,4,5, or 6.
Based on this information:
(a) what is the overall probability of getting 10 correct?
(b) what is the overall probability of getting 0 correct?
(c) what is the overall probability of winning any prize?
(d) what are the odds against winning any prize?
(e) what is the "house edge" for this game?
The expert examines probability in the games of Keno.