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GATE Computer Science (CS) 2018 Shift 1 Solved Paper

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Question : 22

Total: 65

Two people. P and Q, decide to independently roll two identical dice, each with 6 faces. Numbered 1 to 6 . 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 equi-probable and that all trials are independent. The probability (rounded to 3 decimal places) that one of them wins on the third trial is ───────.

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