Question

two fair number cubes are rolled. the table below shows the possible outcomes for each number cube and their sum.

Answer 1

Two fair cubes are rolled.

The total number of possible outcomes is 36.

These 36 possible outcomes are shown in the given figure.

We are asked to find the theoretical probability of rolling two numbers with a sum of 11.

Recall that theoretical probability is given by

`P=(number\;of\;desired\;outcomes)/(total\;number\;of\;possible\;outcomes)`

The desired outcome is the sum of 11 which occurs exactly 2 times.

The total number of possible outcomes is 36.

So, the probability is

`P(sum\;of\;11)=(2)/(36)=(1)/(18)`

Therefore, the theoretical probability of rolling two numbers with a sum of 11 is 1/18