Problems related to R Studio.

(a) Simulate the rolling of two dice 10,000 times. (b) Identify which rolls of the dice are in the event A, the dice add up to a perfect square (4 0r 9). Determine what proportion of the 10,000 rolls are in A. (c) Identify which rolls of the dice are in the event B, the dice add up to an even number. Determine what proportion of the 10,000 rolls are in B. (d) Find out which rolls are in A 0 B. Find the proportion that are in A 0 B. How does that compare to the proportion in A multiplied by the proportion that are in B? (e) Of the rolls in which B occurs that you identied in part (0), what proportion of those rolls are also in A. How does this compare to the proportion you computed in part (b)? (f) Do your results in this R exercise match what you would expect based on the answers you got in problem (4) of the previous