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The Game of Keno (Posted on 2022-07-12) Difficulty: 3 of 5
In the game of Keno, a player bets $1 on precisely five of the numbers from 1 to 80 inclusively. A machine draws at random precisely 20 of the numbers from 1 to 80 inclusively.

Between the player's numbers and the machine's numbers:
• If the number of matches is less than 3, the player loses his bet.
• Otherwise, the player gets back an additional $2, $25 or, $331 if the matches are respectively 3, 4, or 5.

What is the expected value of money won by the player in a game?

*** Adapted from a problem by S.W. Golomb.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
sportsCodyDunning2023-04-11 05:16:47
re: SolutionCharlie2022-07-12 10:58:04
SolutionJer2022-07-12 09:30:25
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