###### Question 10812 – APPSC-2016-DL-CS

May 10, 2024###### Question 10817 – APPSC-2016-DL-CS

May 10, 2024# Question 10814 – APPSC-2016-DL-CS

A pair of dice is tossed twice. What is the probability of scoring 9 at least in one of the two times?

Correct Answer: B

Question 12 Explanation:

We will use binomial distribution here.

Total possible outcomes will be 6*6=36

Lets first calculate probability of getting sum as 9. We will get sum as 9 when first dice and second dice will have number (3,6) ,(4,5) ,(5,4) ,(6,3). So total 4 possibility are there out of 36.

So Let probability of getting sum as 9 = P(A) = 4/36 = 1/9

Now

Probability of scoring 9 at least in one of the two times

= Probability of scoring 9 exactly one time + Probability of scoring 9 exactly two times

Total possible outcomes will be 6*6=36

Lets first calculate probability of getting sum as 9. We will get sum as 9 when first dice and second dice will have number (3,6) ,(4,5) ,(5,4) ,(6,3). So total 4 possibility are there out of 36.

So Let probability of getting sum as 9 = P(A) = 4/36 = 1/9

Now

Probability of scoring 9 at least in one of the two times

= Probability of scoring 9 exactly one time + Probability of scoring 9 exactly two times

16/81

17/81

1/36

64/81

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