Share

## If two fair dice (with faces numbered 1,2,3,4,5,6) are tossed together, what is the probability that the total score will be a perfect cube?

Question

If two fair dice (with faces numbered 1,2,3,4,5,6) are tossed together, what is the probability that the total score will be a perfect cube?

in progress
0

Mathematics
3 years
2021-09-03T05:49:33+00:00
2021-09-03T05:49:33+00:00 1 Answers
36 views
0
## Answers ( )

Answer:Step-by-step explanation:There are non-distinct sums that can be achieved when rolling two fair sided dice.

The smallest of these sums is and the largest of these sums is . Within this range, there exists only one perfect cube, .

Count how many ways we can achieve a sum of 8 with two dice:

Thus the probability the total score (sum) will be a perfect cube when rolling two fair six-sided dice is equal to