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

question 20

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

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