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:
Answer & explanation
Correct answer: option 1
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