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Get access to the detailed solutions to the previous years questions asked in IIFT exam
There are 3 ways to win money in the game.
The number you picked can come up in one dice, 2 dice or 3 dice.
The probability of the number you picked coming in all three dice = (1/6) x (1/6) x (1/6) = 1/216
The probability of the number picked coming on 2 dice = 3C2 x (5/6)(1/6)(1/6) = 15/216
The probability of the number picked coming on 1 dice = 3C1 x (5/6)(5/6)(1/6) = 75/216
Probability of winning = 1/216 + 15/214 + 75/216 = 91/216 = 0.421.
Therefore, option C is the right answer.