Consider Simulating the Average Roll of Three Fair 6-Sided Dice $10000$

Multiple Choice

Consider simulating the average roll of three fair 6-sided dice.Below is a histogram of the simulated average over $10000$ trials. Based on the simulation,approximate the probability that the average roll is between (and including) 3 and 4.Note: This is equivalently,the probability that the sum of the three rolls is between (and including) 9 and 12.

A) 0.28
B) 0.38
C) 0.48
D) 0.58
E) 0.68