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Question

An unbiased die with faces marked 1,2,3,4,5 and 6 is rolled four times. Out of four values obtained the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is


A

1681

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B

181

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C

8081

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D

6581

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Solution

The correct option is A

1681


Explanation for the correct option:

Step: 1 Find out the probability that the face values are from 2 to 5.

The minimum face value is not less than 2and the maximum face value is not greater than 5.

Therefore, the number of possible face values are 4.

Therefore, the probability that the minimum face value is not less than 2and the maximum face value is not greater than 5 is

=46=23

Step: 2 Find the required probability.

Therefore, the required probability

=C44(23)4(23)4-4=(23)4=1681

Therefore, Option(A) is the correct answer.


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