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.

Transcript of Randomisation in Coin Tosses We can’t predict the result of one coin toss with certainty but we...

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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