Suppose that a simulation with a six-sided number cube provided these results during testing.

Outcome

1

2

3

4

5

6

Frequency

18

16

16

17

16

17

Is the number cube fair? Discuss the theoretical probability and how it compares to the simulation probability. The chart is above which is the outcomes and frequency.

Question

15-09-2016
Mathematics

Answered

Suppose that a simulation with a six-sided number cube provided these results during testing.

Outcome

1

2

3

4

5

6

Frequency

18

16

16

17

16

17

Is the number cube fair? Discuss the theoretical probability and how it compares to the simulation probability. The chart is above which is the outcomes and frequency.

Verified Answer :

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AL2006 AL2006 · Answer 1 · 2016-09-19T22:27:18-04:00

Theoretical probability:
1 ... (16 and 2/3) %
2 ... (16 and 2/3) %
3 ... (16 and 2/3) %
4 ... (16 and 2/3) %
5 ... (16 and 2/3) %
6 ... (16 and 2/3) %

Experimental results:
1 ... 18
2 ... 16
3 ... 16
4 ... 17
5 ... 16
6 ... 17

The total number of rolls in the experiment was

(18 + 16 + 16 + 17 + 16 + 17) = 100

so the expected frequency for each outcome was 16-2/3 times,
and the SIMULATION probabilities were

1 ... 18%
2 ... 16%
3 ... 16%
4 ... 17%
5 ... 16%
6 ... 17%

To me, this looks fantastically close. The cube
could hardly be more fair than it actually is.

Suppose that a simulation with a six-sided number cube provided these results during testing.Outcome123456Frequency181616171617Is the number cube fair? Discuss the theoretical probability and how it compares to the simulation probability. The chart is above which is the outcomes and frequency.

Verified Answer :

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