In a game of one-spot Keno, a card is purchased for $2.00. It allows a player to choose one number from 1 to 80. The dealer then chooses twenty numbers at random from 1 to 80. If the player's number is among the numbers chosen by the dealer then the player is paid $3.80, but does not get to keep the $2.00 paid to play the game. What is the expected value of buying one card?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 19E: Lottery In a 6/49 lottery game, a player pays $1 and selects six numbers from 1 to 49. Any player...
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In a game of one-spot Keno, a card is purchased for $2.00. It allows a player to choose one number from 1 to 80. The dealer then chooses twenty numbers at random from 1 to 80. If the player's number is among the numbers chosen by the dealer then the player is paid $3.80, but does not get to keep the $2.00 paid to play the game.

What is the expected value of buying one card?

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