Grade 4 · Unit 10: Chance

Chance experiments

Compare expected and actual results.

Dice used in board games like Ludo.

Testing a dice

Is this dice fair? We can test it with an experiment. Compare what we expect with what happens.

Expected frequency

If we roll 60 times, we expect about 10 sixes. This is the expected frequency. Real results will vary a little.

Actual results

Every number came up between 8 and 12 times. That is close to the expected 10. The dice seems fair.

Spotting bias

32 sixes is far more than 10. The dice is probably biased (unfair). More trials would make us more sure.

What I learnt