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

A 1/36

B 91/256

C 13/256

D 43/256

Solution

Correct Answer: Option B

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

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