Probability A six-sided number cube is rolled and the proportion of 3s is calculated. The graph shows the long-run Which conclusion can be drawn from this There is a 20% chance of rolling a 3 elative frequency of 100 rolls of this die. The long-run frequency of rolling a 3 about 0.17. Proportion of 3s Because the probabilities on the left graph fluctuate so much, we cannot c 0.2 this is a fair number cube. 0.15 This number cube must be fair becau outcome of rolling a 1, 2, 3, 4, 5, or 6 probability of occurring. 0.1 0.05 20 40 60 80 100

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