Playing dice simulation

Simulation 1

When you roll a pair of normal, 6­sided dice together and add the numbers showing, what is the most likely total?

What you have to do

∙Enter the formula RanInt#(1,6) + RanInt#(1,6) into your calculator. Each time you press pthe calculator will simulate another roll of the dice.

∙Record the number displayed by your calculator each time you press p in the table. Simulate the dice rolls at least 40 times.

Total of the dice Tally Frequency

2

3

4

5

6

7

8

9

10

11

12

Discussion questions

∙What is the most common total when the numbers on a pair of dice are added?

∙Why does this number occur more than other numbers?

∙What are the two rarest totals?

Simulation 2

Andrew and Imran are rolling a pair of normal, 6­sided dice. Andrew thinks that a sum of 7 will occur twice before a sum of 6 and a sum of 8 happens. Imran doesn’t agree. He thinks that a sum of 6 and a sum of 8 before two sums of 7.

Your task is to determine who is right!

What you have to do

Enter the formula RanInt#(1,6) + RanInt#(1,6) into your calculator. When you press pignore any values that are not 6, 7 or 8. Record whether two sums of 7 or a sum of 6 and a sum of 8 happens first. Carry out at least 20 simulations and show your results in the table.

Two sums of 7

A sum of 6 and a sum of 8 (or a sum of 8 and a sum of 6)

Which event occurs first most often; two sums of 7 or a sum of 6 and a sum of 8? Why?

© Sue Thomson and Shriro Australia PTY Limited. This page may be photocopied for classroom use.

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Casio FX-82AU PLUS manual Playing dice simulation, Simulation
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