The amount the gambler can win in this fractional game that pays a 10 to 1 with a 1/12 chance of winning is $2,500.
A fractional betting or game allows the gambler to calculate the winning from their betting when it is compared with their stake.
The number on the left-side represents the winning, while the number on the right side of the fractional odds represents the stake (investment).
When the gambler wins, they receive 10x their stake. The expected amount to be won is computed as the total stakes, multiplied by the winning probability and the fractional odds.
Fractional odds of winning = 10/1
Chance of winning = 1/12
Number of independent games played = 150 times
Bet each time = $20
Total bets = $3,000 ($20 x 150)
Amount won = $2,500 ($3,000 x 1/12 x 10/1)
Thus, the amount the gambler can win in this fractional game that pays a 10 to 1 with a 1/12 chance of winning is $2,500.
Learn more about expected winnings in games at https://brainly.com/question/23430366
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