If the game is fair, it is 1/3.
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The chance of not winning on one attempt is 1 - 0.008 = 0.992 The chance of not winning over 110 attempts is therefore 0.992110, since you must fail every time. 0.992110 = 0.413 (to three decimal places). (It follows that 0.587 is the chance of winning on at least one attempt.)
The probability is 1/36
Since the probability of getting tails is 50% or 0.5, the probability of three tails would be 0.5*0.5*0.5=0.125 or 12.5 %
2/6 or 1/3 or 0.3333.
The probability of of rolling three ones on three dice is (1 in 6)3, or 1 in 216, or about 0.004630.