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

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

A

7C4(16)4(56)3{ } ^ { 7 } C _ { 4 } \left( \frac { 1 } { 6 } \right) ^ { 4 } \left( \frac { 5 } { 6 } \right) ^ { 3 }

B

7C4(16)3(56)4{ } ^ { 7 } C _ { 4 } \left( \frac { 1 } { 6 } \right) ^ { 3 } \left( \frac { 5 } { 6 } \right) ^ { 4 }

C

(16)4(56)3\left( \frac { 1 } { 6 } \right) ^ { 4 } \left( \frac { 5 } { 6 } \right) ^ { 3 }

D

(16)3(56)4\left( \frac { 1 } { 6 } \right) ^ { 3 } \left( \frac { 5 } { 6 } \right) ^ { 4 }

Answer

7C4(16)4(56)3{ } ^ { 7 } C _ { 4 } \left( \frac { 1 } { 6 } \right) ^ { 4 } \left( \frac { 5 } { 6 } \right) ^ { 3 }

Explanation

Solution

Required probability =7C4(16)4(56)3= { } ^ { 7 } C _ { 4 } \left( \frac { 1 } { 6 } \right) ^ { 4 } \left( \frac { 5 } { 6 } \right) ^ { 3 }