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Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1

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Notes Teacher Notes: You need the sound on! Photocopy sheet (double sided) and give one to each pair. Ask them to choose a horse that they think will win. You will need to run this for 20 to 30 minutes with a class of around 30 to get a decent set of results. Enter results in the second row of table (editable) Discuss the reasons for 7 winning (ask about opposite sides of a die). Complete table of outcomes with students and relate distribution of results to table. (Ask some probability questions).

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Game The Probability Race Game Finish Start 12 11 10 9 8 7 6 543 2 Player 1: Player 2: Start Finish 12 11 10 9 8 7 6 543 2 die 1 die 2 6 5 4 3 2 1 1 2 3 4 5 6 Winning horse How to Play

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Results 12111098765432 00241826126100 1 2 3 4 5 6 2 3 4 5 6 1 3 2 4 3 5 4 6 5 7 6 8 4 5 6 7 5 6 7 8 6 7 8 9 7 8 9 10 8 9 11 910 11 12 7 + Die 1 Die 2 Complete the table Did you know that the numbers on opposite faces of a die add to 7? P(7) = 6/36 = 1/6 We can use the table to calculate probabilities for other outcomes. Class Results

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12111098765432 00241826126100 1 2 3 4 5 6 2 3 4 5 6 1 3 2 4 3 5 4 6 5 7 6 8 4 5 6 7 5 6 7 8 6 7 8 9 7 8 9 10 8 9 11 910 11 12 7 + Die 1 Die 2 P(7) = 6/36 = 1/6 Calculate the probabilities of the following events. (a) P(5) (b) P(12) (c) P(even) (d) P(odd) (e) P(prime) (f) P(>4) (g) P(<9) (h) P(multiple of 3) = 4/36 = 1/36 = 18/36 = 15/36 = 30/36 = 26/36 = 12/36

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Worksheet The Probability Race Game Finish Start 12 11 10 9 8 7 6 543 2 Player 1: Player 2: Start Finish 12 11 10 9 8 7 6 543 2 die 1 die 2 6 5 4 3 2 1 1 2 3 4 5 6 Winning horse

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