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Analysis  Leah shows the expected/theoretical probability distribution as follows:  Plan Student carries out trials of the experiment, accepting that small samples often result in considerable variation from the predicted result. Student suggests combining class results to form a larger sample and accepts that as the sample size becomes bigger, the experimentally estimated result resembles the theoretical results better.  Analysis    Conclusion Students realise the experimental probability distribution with sample size of 300 trials (combined class result) is more similar to the theoretical distribution than with 20 trials. They suggest at least 1000 trials may be needed before the experimental distribution approaches the theoretical distribution. Students can express experimentally estimated and theoretical probabilities in fractions, decimals and percentages.ReflectionHow else could you work out these theoretical probabilities? Explain and justify your method. Extension activityWhat if you found the difference between the spinners? What if the spinners were the same? Design your own spinners, carry out trials adding or subtracting and compare the experimentally estimated results with expected theoretical outcomes. Explain and justify your findings.      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