Question

Two dice are rolled. What is the probability that the sum of numbers rolled is either 5 or 12?

Answer 1

ANSWER:  

The probability that sum of numbers rolled is either 5 or 12 is $\frac{5}{36}$

SOLUTION:

Given, Two dice are rolled.  

We have to find what is the probability that the sum of numbers rolled is either 5 or 12

We know that, probability of an event = $\frac{\text { favourable outcomes }}{\text { total outcomes }}$

Now, total outcomes for two dices = 6 for 1st dice x 6 for 2nd dice = 6 x 6 = 36.

Now, favourable outcomes = sum is 5 + sum is 12

= 4[(1,4), (2,3), (3, 2), (4, 1)] + 1[(6,6)]

= 5 total favourable outcomes.

Now, probability = 5/36

Hence, the probability that sum is either 5 or 12 is 5/36.