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 © HAESE & HARRIS PUBLICATIONS INVESTIGATION  ROLLING A DIE At least one normal six-sided die with numbers  1  to  6  on its faces. Several dice would be useful to speed up the experimentation. 1 2  Consider the possi ble outcomes when the die is roll ed  60 times. Copy and complete 3 Out comes Exp ect ed fr equ enc y Exp ect ed r elativ e fr equ enc y 1 2 3 4 5 6 Outcome T ally F r equency R elative fr equency 1 2 3 4 5 6 Total  60 What to do:  Yo u will need: the following table of your  expecte d esul ts r : Examin e die. List the p ossible outcome s for the u ppermost face when the di e is rolled. a Roll the d ie times an d rec ord the result on th e upp ermo st fa ce in the t able belo w: 60 4  Pool as much data as you can with o ther stud ents. ²  Look  at  similarities and differ ences from one set to  another . ²  Look at the overall p ooled data add ed into o ne table. 5  How close to  your  ex pectatio n were your  results? 6  Use the die rolli ng simula tion fro m the comput er packag e on the CD to roll the die time s and repe at this times. On ea ch occasion, reco rd y our r esul ts i n a tabl e like that in . Do your results f urther co nfirm you r expected results? 10 000 10 3

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INVESTIGATION ROLLING A DIE

At least one normal six-sided die with numbers 1 to 6 on its faces

Several dice would be useful to speed up the experimentation

1

2 Consider the possible outcomes when the die is rolled 60 times Copy and complete

3

Outcomes Expected frequency Expected relative frequency

1

2

3

4

5

6

Outcome Tally Frequency Relative frequency1

2

3

4

5

6

Total 60

What to do

You will need

the following table of your expected esultsr

Examine die List the possible outcomes for the uppermost face when the die is rolleda

Roll the die times and record the result on the uppermost face in the table below60

4 Pool as much data as you can with other students

sup2 Look at similarities and differences from one set to another

sup2 Look at the overall pooled data added into one table

5 How close to your expectation were your results

6 Use the die rolling simulation from the computer package on the CD to roll the die

times and repeat this times On each occasion record your results in a table

like that in Do your results further confirm your expected results

10 000 10

3