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Question

If a dice is thrown twice, the probability of occurrence of 4 at least once is


A

1136

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B

712

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C

3536

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D

None of these

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Solution

The correct option is A

1136


Explanation for the correct option:

Step 1. Find the required probability:

Given, n=2

Now, Probability of getting a 4 on a die , p=16

probability of not getting a 4 on a die, q=1-p

=1-16=56

Step 2. Probability of getting 4 at least one times:

P(X=1)+P(X=2)=C12(16)(56)+C22162560 [P(X=x)=Cxnpxqn-x] =1036+136 Crn=n!(n-r)!r!

=1136

Hence, Option ‘A’ is Correct.


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