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A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.

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A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die. Select the correct answer from above options

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6 in 6th throw`= 1/6` `n=5, p=1/6, q=5/6` p(x=2)`= .^5C_2 (1/6)^2(5/6)^3` `= (5*4)/(2*1)*5^3/6^5= 2*5^4/6^5` total probability`= 2*5^4/6^5*1/6` `=625/23328` answer

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