If a dice is thrown 7 times, then the probability of obtaining 5 , exactly 4 times is

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If a dice is thrown 7 times, then the probability of obtaining 5 , exactly 4 times is

MathematicsProbabilityJEE Main

Options:

A ${ }^7 C_4\left(\frac{1}{6}\right)^4\left(\frac{5}{6}\right)^3$
B ${ }^7 C_4\left(\frac{1}{6}\right)^3\left(\frac{5}{6}\right)^4$
C $\left(\frac{1}{6}\right)^4\left(\frac{5}{6}\right)^3$
D $\left(\frac{1}{6}\right)^3\left(\frac{5}{6}\right)^4$

Solution:

1744 Upvotes Verified Answer

The correct answer is: ${ }^7 C_4\left(\frac{1}{6}\right)^4\left(\frac{5}{6}\right)^3$

Required probability
$={ }^7 C_4\left(\frac{1}{6}\right)^4\left(\frac{5}{6}\right)^3$.

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