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Two people, P and Q, decide to independently roll two identical dice, each with 6 faces. Numbered 1 to The person with the lower number wins. In case of a tie, they roll the dice repeatedly until there is no tie. Define a trial as a throw of the dice by P and Q. Assume that all 6 numbers on each dice are equiprobable and that all trials are independent. The probability (rounded to 3 decimal places) that one of them wins in the third trial is ___________.

[GATE CS 2018]
A