Our local casino has introduced a new game called Dice Roulette. The board is marked with squares numbered from 1 to 36, and
players bet by placing chips on these numbers.
Then a player rolls a pair of standard six-sided dice, and the winning number is the product of the values on the dice.
For example, if the dice show 3 and 5, the winning number is 15. Players who bet on the winning number win $10 for every $1 they wager; the
others lose.
If you decide to play this game, on which numbers should you bet? And in the long run, should you expect to win or lose money?
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