A pair of dice is thrown and sum of the numbers on two tosses is observed. Which of the statements are correct.

A. Probability of getting sum as 11 is $\frac{1}{18}$
B. Probability of getting sum as 5 is $\frac{1}{12}$
C. Probability of getting sum as 7 is $\frac{1}{6}$
D. Probability of getting sum as 6 is $\frac{1}{9}$

Choose the correct answer from the options given below:

A and C Only

The correct answer is option 1: A and C Only

A pair of dice is thrown and sum of the numbers on two tosses is observed

Sample Space = [(11)(12)(13)........(66)]

Total Number of Outcomes = 36

Chances of getting sum as 11 = 2 i.e. [(5,6)(6,5)]

Probability of getting sum as 11 = 2/36 = 1/18. First is true.

Chances of getting sum as 5 = 4 i.e. [(1,4)(4,1)(2,3)(3,2)]

Probability of getting sum as 5 = 4/36 = 1/9. Second is False

Chances of getting sum as 7 = 6 i.e. [(1,6)(6,1)(2,5)(5,2)(3,4)(4,3)]

Probability of getting sum as 7 = 6/36 = 1/6. Third is True

Chances of getting sum as 6 = 5 i.e. [(1,5)(5,1)(3,3)(2,4)(4,2)]

Probability of getting sum as 6 = 5/36. Fourth is False

The correct answer is Option (1) → A and C Only