The probability of rolling a number greater than 2 on a fair, eight-sided number cube is 0.75. So, the correct option is D.
When rolling a fair, eight-sided number cube, the probability of rolling a number greater than 2 is found by considering the favorable outcomes.
There are six favorable outcomes (3, 4, 5, 6, 7, and 8) since we are looking for a number greater than 2 in a cube with faces numbered 1 through 8.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes, which is eight.
The calculation is as follows:
P(number greater than 2) = Number of favorable outcomes / Total number of outcomes
= 6 / 8
= 0.75.
Therefore, the probability of rolling a number greater than 2 on an eight-sided number cube is 0.75.
The probable question may be:
"When rolling a fair, eight-sided number cube, determine P(number greater than 2).
A. 0.25
B. 0.50
C. 0.66
D. 0.75"