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Question

If a dice is thrown 5 times, then the probability of getting 6 exact three times is


A

125388

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B

1253888

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C

62523328

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D

2502332

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Solution

The correct option is B

1253888


Explanation for the correct option:

Step 1. Find the required probability:

Given, n=5

Now, Probability of getting a 6 on a die , p=16

probability of not getting a 6 on a die, q=1-p

=1-16=56

Let r=3

Step 2. Probability of getting 6 exactly three times:

P(r=3)=C35×163×562 [P(r)=Crn×pr×qn-r]

=10×1216×2536 Crn=n!(n-r)!r!

=1253888

Hence, Option ‘B’ is Correct.


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