Does the Probability Model Fit?

Check yes or no: does the cube look fair? Compare what happened with what a fair model predicts.

ExampleMaria rolls a number cube 60 times and records the results.

Face	1	2	3	4	5	6
Times rolled	11	14	13	12	9	1

A fair cube would give each face about the same number of times. Does this cube look fair?
yesno

Why: A fair cube would give each face about 60 ÷ 6 ≈ 10 times. The counts are all close to that, so the results are consistent with a fair cube — some variation is expected in any experiment.

1.Maria rolls a number cube 60 times and records the results.
Face 1 2 3 4 5 6
Times rolled 14 12 10 9 10 5
A fair cube would give each face about the same number of times. Does this cube look fair?
yesno
Why?
2.Liam rolls a number cube 180 times and records the results.
Face 1 2 3 4 5 6
Times rolled 28 27 32 30 27 36
A fair cube would give each face about the same number of times. Does this cube look fair?
yesno
Why?
3.Ethan rolls a number cube 120 times and records the results.
Face 1 2 3 4 5 6
Times rolled 20 21 16 19 19 25
A fair cube would give each face about the same number of times. Does this cube look fair?
yesno
Why?
4.Ethan rolls a number cube 120 times and records the results.
Face 1 2 3 4 5 6
Times rolled 40 16 12 15 13 24
A fair cube would give each face about the same number of times. Does this cube look fair?
yesno
Why?
5.Omar rolls a number cube 60 times and records the results.
Face 1 2 3 4 5 6
Times rolled 20 4 8 8 10 10
A fair cube would give each face about the same number of times. Does this cube look fair?
yesno
Why?