What Is The Probability Of Getting At Least One Six In A Single Throw

1.	What Is The Probability Of Getting At Least One Six In A Single Throw Of Three Unbiased Dice?
Answer» 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. 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.

What Is The Probability Of Getting At Least One Six In A Single Throw Of Three Unbiased Dice?

Answer»

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.

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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