Question

Ram throws two dice simultaneously, what will be the ratio of the probability of getting sum of dice numbers is more than 10 to the sum of dice numbers is divisible by 3?

A. 1 : 5

B. 2 : 3

C. 1 : 4

D. 1 : 2

1. Only A
2. Only B
3. Only C
4. Only D

Answer 1

Correct Answer - Option 3 : Only C

Given:

Ram throws two dice simultaneously,

Formula used:

nCr = n!/((n-r)! × r!)

P = (Number of favorable outcomes)/(Total number if outcomes)

Calculation:

Possible ways for sum is more than 10: (5,6)(6,5)(6,6) = 3

Possible ways of sum is divisible by 3: (1,2)(1,5)(2,1)(2,4)(3,3)(3,6)(4,2)(4,5)(5,1)(5,4)(6,3)(6,6) = 12

Ratio of probability: \(3\over12\) = 1 : 4

Hence, Only C is the correct answer