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How to set up simulated dice rolling in Excel.

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I have to create a simulation in Excel or Crystal Ball (an Excel add-in)only; no other software choices.

The task is to simulate a roll of a PAIR of dice--each die having equal probabilities of outcomes: 1, 2, 3, 4, 5 or 6.

Perform 50 trials of this simulation. What is the expected value of the dice roll (minimum value is 2; two 1's rolled; maximum value of the throw is 12; two 6's rolled)?

To perform this simulation, we must use Excel on its own, or Crystal Ball (simulation software add-in for excel).

How do I set this up in Excel? Would I have to use like a random # generator to simulate a random 50 throws of the dice???

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Solution Summary

The following solution outlines the process by which you can program Excel to simulate a pair of rolling die.

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please see the attachment.

My suggestion. You can do this by using Excel. Since the task is to simulate a roll of a PAIR of dice--each die having equal probabilities of outcomes: 1, 2, 3, 4, 5 or 6, we have 36 possible cases. (1,1), (1,2),(1,3),(1,4),(1,5),(1,6)
(2,1), (2,2),(2,3),(2,4),(2,5),(2,6)
(3,1), (3,2),(3,3),(3,4),(3,5),(3,6)
(4,1), (4,2),(4,3),(4,4),(4,5),(4,6)
(5,1), (5,2),(5,3),(5,4),(5,5),(5,6)
(6,1), (6,2),(6,3),(6,4),(6,5),(6,6)
each of them appears at the same probability ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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