Explanation

When three 6-faced dice are thrown together, the total number of possible outcomes is 6 × 6 × 6 = 216 (since each die has 6 possible outcomes).

The favorable outcomes where all three dice show the same number are:

(1, 1, 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5), and (6, 6, 6)

There are 6 favorable outcomes.

The probability of all three dice showing the same number is:

Number of favorable outcomes / Total number of possible outcomes

= 6 / 216

= 1/36