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Question

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


A

C47164563

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B

C47163564

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C

164563

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D

163564

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Solution

The correct option is A

C47164563


Explanation for the correct option:

Step 1. Find the required probability:

Given, n=7, x=4

Now, Probability of getting a 5 on a die , p=16

probability of not getting a 5 on a die, q=1-p

=1-16=56

Step 2. Probability of getting 5 exactly four times:

P(X=4)=C47164567-4 ; [P(X=x)=Cxnpxqn-x]

=C47(16)4(56)3

Hence, Option ‘A’ is Correct.


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