<u>ANSWER: </u>
The probability that sum of numbers rolled is either 5 or 12 is
<u>SOLUTION: </u>
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 =
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.