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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Probability
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Q)

A fair die is tossed eight times. The probability that a third six is observed on the eight throw is

$\begin {array} {1 1} (A)\;\large\frac{7C_2 \times 5^5}{6^7} & \quad (B)\;\large\frac{7C_2 \times 5^5}{6^8} \\ (C)\;\large\frac{7C_2 \times 5^5}{6^6} & \quad (D)\;None\: of \: these \end {array}$

 

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A)
Required probability = $ 7C_2 \bigg(\large\frac{1}{6} \bigg)^2 \bigg(\large\frac{5}{6} \bigg)^5 \times \large\frac{1}{6}$
$ = \large\frac{7C_2 \times 5^5}{6^8}$
Ans : (B)
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