In a game of chance, a player has 3 tries to get a '6' on the dice roll. If he succeeds directly, he recovers 5 times his bet. If he succeeds on the 2nd try, he recovers his bet once. If he succeeds on the 3rd try, he recovers 6 times his bet. If he does not have a '6' after 3 tries, he loses his bet. How much does he win on average if he bets 3 euros? euro (Note: In case of loss the gain will be negative, for example: -10 euro.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 34T
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In a game of chance, a player has 3 tries to get a '6' on the dice roll. If he succeeds directly, he recovers 5 times his bet. If he succeeds on the 2nd try, he recovers his bet once. If he succeeds on the
3rd try, he recovers 6 times his bet. If he does not have a '6' after 3 tries, he loses his bet. How much does he win on average if he bets 3 euros?
euro
(Note: In case of loss the gain will be negative, for example: -10 euro.)
Transcribed Image Text:In a game of chance, a player has 3 tries to get a '6' on the dice roll. If he succeeds directly, he recovers 5 times his bet. If he succeeds on the 2nd try, he recovers his bet once. If he succeeds on the 3rd try, he recovers 6 times his bet. If he does not have a '6' after 3 tries, he loses his bet. How much does he win on average if he bets 3 euros? euro (Note: In case of loss the gain will be negative, for example: -10 euro.)
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