What is the probability of getting at least one six in a single throw of three unbiased dice?

Explanation:

Find the number of cases in which none of the digits show a ‘6’.

i.e. all three dice show a number other than ‘6’, 5×5×5=125 cases.

Total possible outcomes when three dice are thrown = 216.

The number of outcomes in which at least one die shows a ‘6’ = Total possible outcomes when three dice are thrown – Number of outcomes in which none of them show ‘6’.

=216−125=91

The required probability = 91/256