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Question

A dice is thrown 5 times then the probability that an even number will come up exactly 3 times is


A

516

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B

12

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C

316

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D

32

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Solution

The correct option is A

516


An explanation for the correct option:

Step 1: Find the probability of success and failure.

We have been given a dice is thrown 5 times.

We need to find the probability that an even number will come up exactly 3 times.

the probability of getting an even number (p)=36

the probability of getting an odd number (q)=36

Step 2: Using the formula of Binomial distribution, find the required probability.

the probability that an even number will come up exactly 3 times is:

here, n=5,x=3,p=12,q=12

P=C35×(12)3×(12)5-3P=5!3!(5-3)!×(18)×(12)2P=516

Therefore, option (A) is the correct answer.


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