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That would mean that all of these events have the same probability.
If you can do the questions above look at more difficult situations with more coins.How can it be made fair?Session 5 In the final session we look at making the game fair.Let different students say what they think the probability.Now go through Brians argument.Let the students write down their favourite argument in their books.What do you think the probability is of getting HHT?(Incidentally this will be more interesting if you use names of people that are known to the students in your class.Discuss the various arguments (see Answer 4 above) for the correct probability.Then, E1 HH and, therefore, n(E1).
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Therefore we have provided a binomial calculator to make it easy to calculate these probabilities.done (first1 second1 stop when HH appears first second; remember for next toss end; output; end; end; run; proc means dataCoinFlip maxdec1 mean median Q3 P90 max; class player; var toss; run; The means procedure displays statistics about the length of each game.To get the number of ways of obtaining three heads and a tail, for instance, you could see that as coming from the HHH with a T ms office frontpage 2003 tutorial on the fourth coin; or from THH with a T on the fourth coin; or from THH with.For when a head is showing we write H; for a tail.What would you have to do to make it fair?Get them to see that it is easier to put in P at the end than plotting it after each throw of the coins.(v) getting no tail: Let E5 event of getting no tail.But if is a head, she doesn't start over.Tthh, hTHH, for Bob to "win" (that is, observe the sequence HH he must first toss a head.This problem can be reduced a little by having the students spin the coins about a vertical axis.
This makes Figure 1 an example of a binomial distribution.
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