Consider a game which involves rolling three dice. Write the R code for the following. Using the rollDie function from the prob library, setup the sample space for this experiment with the probability space. For each of the following scenarios from a) through e), show the corresponding outcomes and the probability of that event.

The sample outputs for b) are shown as example.

a) The sum of the rolls is greater than 10.

b) All the three rolls are identical

d) None of the three rolls are identical.

e) Only two of the three rolls are identical given that the sum of the rolls is greater than 10