Sample Space Diagrams Worksheet A This is a

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Sample Space Diagrams – Worksheet A This is a game for students to explore

Sample Space Diagrams – Worksheet A This is a game for students to explore the expected results for 2 dice. The Power. Point slides are interactive: click/touch a horse to move it one space forward. The worksheets are provided in a variety of sizes.

Printing To print handouts from slides Select the slide from the left. Then click:

Printing To print handouts from slides Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

HORSE 1 2 4 5 6 7 8 9 10 11 12 FINISH Which

HORSE 1 2 4 5 6 7 8 9 10 11 12 FINISH Which horse will win? 3 Nowt Ashance Lucky Larry Shoe-In Sarah Maybe May Hopeful Harry Sometimes Sam Average Adam Unlikely Lucy Probable Polly Golden Glen Definite Dan Yul Blucky RACE

HORSE RACE Nowt Ashance 2 Lucky Larry 3 Shoe-In Sarah 4 Maybe May Hopeful

HORSE RACE Nowt Ashance 2 Lucky Larry 3 Shoe-In Sarah 4 Maybe May Hopeful Harry 5 7 Sometimes Sam Average Adam 8 Unlikely Lucy 9 Probable Polly 10 Golden Glen Definite Dan Yul Blucky 6 11 12 FINISH 1 Choose a horse to win! Roll two dice and total the score. Move that horse forwards by making an X in the next box. Play again. Can you explain why some horses do better than others?

1) Who won the race(s)? 2) Who did you expect to win? 3) Do

1) Who won the race(s)? 2) Who did you expect to win? 3) Do some horses have a higher chance of winning? Why? 4) How many ways can you score a 2? 5) How many ways can you score a 12? 6) How many ways can you score a 4? 7) How many ways can you score a 10? 8) How many ways can you score a 7? We can make this easier by using a Sample Space Diagram. Score on the 1 st Dice Score on the 2 nd Dice + 1 1 2 2 3 2 4 5 6 a) How many ways to score a 6? 5 3 9 4 5 6 10 Remember, Fill the table with the totals from 2 dice. b) How many ways to score a 5? c) How many outcomes are there in total? Use this to find: If you ran the horse race again, which horse would you pick?

HORSE RACE Nowt Ashance 2 Lucky Larry 3 Shoe-In Sarah 4 Maybe May Hopeful

HORSE RACE Nowt Ashance 2 Lucky Larry 3 Shoe-In Sarah 4 Maybe May Hopeful Harry 5 7 Sometimes Sam Average Adam 8 Unlikely Lucy 9 Probable Polly 10 Golden Glen Definite Dan Yul Blucky 6 11 12 Why can we expect a distribution like this? FINISH 1 Choose a horse to win! Roll two dice and total the score. Move that horse forwards by making an X in the next box. Play again. Can you explain why some horses do better than others?

1) Who won the race(s)? 2) Who did you expect to win? 3) Do

1) Who won the race(s)? 2) Who did you expect to win? 3) Do some horses have a higher chance of winning? Why? 4) How many ways can you score a 2? 5) How many ways can you score a 12? 6) How many ways can you score a 4? 7) How many ways can you score a 10? 8) How many ways can you score a 7? We can make this easier by using a Sample Space Diagram. + 1 1 2 2 3 2 4 5 6 a) How many ways to score a 6? 5 3 9 4 5 6 10 Remember, Score on the 2 nd Dice Fill the table with the totals from 2 dice. b) How many ways to score a 5? c) How many outcomes are there in total? Score on the 1 st Dice Score on the 2 nd Dice We can make this easier by using a Sample Space Diagram. + 1 1 2 If you ran the horse race again, which horse would you pick? 3 2 4 5 6 a) How many ways to score a 6? 5 3 9 4 5 6 10 Remember, Use this to find: 2 Fill the table with the totals from 2 dice. b) How many ways to score a 5? c) How many outcomes are there in total? Use this to find: If you ran the horse race again, which horse would you pick?

Answers 1) Who won the race(s)? 2) Who did you expect to win? 3)

Answers 1) Who won the race(s)? 2) Who did you expect to win? 3) Do some horses have a higher chance of winning? Why? 1 4) How many ways can you score a 2? 1 5) How many ways can you score a 12? 6) How many ways can you score a 4? 3 We can make this easier by using a Sample Space Diagram. Score on the 1 st Dice + 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 10 11 12 Remember, P(8) = f P(4) = g P(9) = h P(7) = i P(1) = Fill the table with the totals from 2 dice. a) How many ways to score a 6? 5 b) How many ways to score a 5? 4 c) How many outcomes are there in total? 36 Use this to find: e 6 8) How many ways can you score a 7? Score on the P(12) = 3 7) How many ways can you score a 10? 2 nd d If you ran the horse race again, which horse would you pick?

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk