Rolling the DiceProbability puzzles require you to weigh all the possibilities and pick the most likely outcome.
A gambler goes to bet. The dealer has 3 dice, which are fair, meaning that the chance that each face shows up is exactly 1/6.
The dealer says:"You can choose your bet on a number, any number from 1 to 6. Then I'll roll the 3 dice. If none show the number you bet, you'll lose $1. If one shows the number you bet, you'll win $1. If two or three dice show the number you bet, you'll win $3 or $5, respectively." Is it a fair game? What Next?
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(2.82) 
(2.11) 
