Question

If you roll two fair sided dice what is the probability that at least one die shows a 3

Answer 1

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➷ The probability of one die showing a 3 is 1/6

Therefore the probability of the die not showing a 3 is 5/6

As it is 'at least one', you would have to multiply these together:

1/6 x 5/6 = 5/36

As there are 2 dice, you would multiply this value by 2:

5/36 x 2 = 10/72

However, as it is at least one, both could also land on 3

1/6 x 1/6 = 1/36

Add these two fractions together:

10/72 + 1/36 = 1/6

The answer is 1/6

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➶ Hope This Helps You!

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