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

ANSWER:  

The probability that sum of numbers rolled is either 5 or 12 is

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 =

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.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above