Question

Peter rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 11.

Answer 1

`(25)/(36)`

Explanation:

Since each dice has a total of 6 numbers, Peter can get a maximum roll of 5 on each dice before the total is 11 or more. Therefore, the probability of rolling a number less than or equal to 5 each roll is 5/6. Now to find the probability of rolling a 5 or less in both rolls together so that the total is less than 11 we need to multiply the probability of each separate roll together.

`(5)/(6) * (5)/(6) = (25)/(36)`

Therefore the probability of the total being less than 11 is
`(25)/(36)`