A six-sided die is rolled 3 times. What is the fractional probability of rolling the same number all 3 times?
To find the probability of rolling the same number all 3 times, we need to first determine the total number of possible outcomes when rolling a six-sided die 3 times.
Each roll of the die has 6 possible outcomes, so rolling the die 3 times gives us a total of 6 x 6 x 6 = 216 possible outcomes.
There is only 1 outcome where the same number is rolled all 3 times, as there is only 1 number that can be rolled on each die.
Therefore, the fractional probability of rolling the same number all 3 times is 1/216.