A pair of biased diced is rolled until s...

A pair of biased diced is rolled until sum 10 appears for the first time. Given that the probability of getting sum 10 on the biased dice is `p(0 lt p lt 1)`. If the probability that the number of trails required to get sum 10 is odd is 5/9 then find the value of p.

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The correct Answer is:

`(1)/(5)`

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