randomisation in coin tosses we can’t predict the result of one coin toss with certainty but we...

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Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about half, or 5 heads. There will be quite a lot of variation, however, about our expectation for such a small number of tosses. The next few slides show the variation in the number of heads in 10 trials of 10 tosses of a coin.

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Page 1: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

Randomisation in Coin Tosses

We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about half, or 5 heads.There will be quite a lot of variation, however, about our expectation for such a small number of tosses.The next few slides show the variation in the number of heads in 10 trials of 10 tosses of a coin.

Page 2: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

10 Tosses

Page 3: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

10 Tosses

Page 4: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

10 Tosses

Page 5: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

10 Tosses

Page 6: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

10 Tosses

Page 7: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

Increasing the number of coin tosses

We are now going to see the result of simulating 20 coin tosses and the number and percentage of Heads and Tails obtained.Each time more simulated tosses are added to those already completed, there should be less variation from the expected 50%:

+30 +50+100 +200+500 +1000+1000 +3000

Page 8: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

20 Tosses

Page 9: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

50 Tosses

Page 10: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

100 Tosses

Page 11: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

200 Tosses

Page 12: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

500 Tosses

Page 13: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

1000 Tosses

Page 14: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

2000 Tosses

Page 15: Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we have an expectation that with 10 tosses we will get about

5000 Tosses

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