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Heads and Tails

Experimental probability... for better samples make them bigger.
(Navigator activity)
Publisher: Texas Instruments UK
Editor: Barrie Galpin
Topic: Mathematics
Tags Binomial Distribution , Probability
This activity, which has been specially written for use with TI-Nspire Navigator, is about experimental probability. Students are able use their TI-Nspire handhelds to record the results when they toss one, two or more coins. Each handheld immediately displays a bar chart of the entered results and these can all be collected by the teacher for display simultaneously on a large screen, allowing individual variations to be discussed. The results from the whole class can then be compiled and displayed on a single bar chart.
The key mathematical point is that with small samples there is a lot of variability around the theoretical probability but, with a large sample, that variability is likely to be much less. The activity may also be used as an introduction to the binomial theorem.