Sample Space Diagrams – Bingo Method Students should choose nine answers from the grid and place them randomly into a 3x3 square in their book. You may want to pause your display and choose questions according to difficulty during the game. Depending on time, students could win with a line, an X, or a ‘full house’ (all).

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BINGO! 45 54 23 82 37 12 76 25 91 Sample Space Diagrams

Choose your numbers… 7 24 7 12 7 9 1 12 5 6 1 8 3 4 5 36 3 10 1 3 4 5 9 10 11 12 2 9 1 2 5 12 Draw a 3x3 grid in your book.

What is P(5, H)? = 1 12 A 6-sided dice and a coin are thrown. 1 2 3 4 = 1 12 Score on Dice 1 2 3 4 5 6 Result on Coin H 1, H 2, H 3, H 4, H 5, H 6, H T 1, T 2, T 3, T 4, T 5, T 6, T

Two 6-sided dice are thrown and their scores added. What is P(6)? = 5 36 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10 11 12

What is P(4 or 7)? = P(4) + P(7) = 3 24 + 4 24 = 7 24 A 6-sided and a 4-sided die are thrown and their scores added. What is P(4 or 7)? = P(4) + P(7) = 3 24 + 4 24 = 7 24 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10

Two fair spinners are spun and their scores added. What is P(6 or less)? = 15 30 = 1 2 Score on 1st Spinner 1 2 3 4 5 Score on 2nd Spinner 6 7 8 9 10 11

Two 6-sided dice are thrown and their scores added. What is P(5 or 9)? = P(5) + P(9) = 4 36 + 4 36 = 8 36 = 2 9 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10 11 12

What is P(not 6, H)? = 1 – P(6, H) = 1 – 1 12 = 11 12 A 6-sided dice and a coin are thrown. What is P(not 6, H)? = 1 – P(6, H) = 1 – 1 12 = 11 12 Score on Dice 1 2 3 4 5 6 Result on Coin H 1, H 2, H 3, H 4, H 5, H 6, H T 1, T 2, T 3, T 4, T 5, T 6, T

Two fair spinners are spun and their scores added. What is P(not more than 9)? = 1 – P(more than 9) = 1 – 3 30 = 27 30 = 9 10 Score on 1st Spinner 1 2 3 4 5 Score on 2nd Spinner 6 7 8 9 10 11

Two 6-sided dice are thrown and their scores added. What is P(not 3 or 7)? = 1 – (P(3) + P(7)) = 1 – 2 36 + 6 36 = 7 9 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10 11 12

What is P(even or 3,H)? = P(even) + P(3,H) = 6 12 + 1 12 = 7 12 A 6-sided dice and a coin are thrown. What is P(even or 3,H)? = P(even) + P(3,H) = 6 12 + 1 12 = 7 12 Score on Dice 1 2 3 4 5 6 Result on Coin H 1, H 2, H 3, H 4, H 5, H 6, H T 1, T 2, T 3, T 4, T 5, T 6, T

Two fair spinners are spun and their scores added. What is P(4 or more than 8)? = P(4) + P(more than 8) = 3 30 + 6 30 = 9 30 = 3 10 Score on 1st Spinner 1 2 3 4 5 Score on 2nd Spinner 6 7 8 9 10 11

Two 6-sided dice are thrown and their scores added. What is P(not more than 9)? = 1 – P(more than 9) = 1 – 6 36 = 30 36 = 5 6 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10 11 12

What is P(more than 8)? = 3 24 = 1 8 A 6-sided and a 4-sided die are thrown and their scores added. What is P(more than 8)? = 3 24 = 1 8 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10

What is P(not 3 or more than 5)? A 6-sided and a 4-sided die are thrown and their scores added. What is P(not 3 or more than 5)? = 1 – (P(3) + P(more than 5)) = 1 – 2 24 + 14 24 = 1 3 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10

What is P(not odd or 2, H? = 1 – (P(odd) + P(2,H)) = 1 – 6 12 + 1 12 A 6-sided dice and a coin are thrown. What is P(not odd or 2, H? = 1 – (P(odd) + P(2,H)) = 1 – 6 12 + 1 12 = 5 12 Score on Dice 1 2 3 4 5 6 Result on Coin H 1, H 2, H 3, H 4, H 5, H 6, H T 1, T 2, T 3, T 4, T 5, T 6, T

Two fair spinners are spun and their scores added. What is P(not 8 or 3)? = 1 – (P(8) + P(3)) = 1 – 4 30 + 2 30 = 4 5 Score on 1st Spinner 1 2 3 4 5 Score on 2nd Spinner 6 7 8 9 10 11

What is P(not less than 5)? A 6-sided and a 4-sided die are thrown and their scores added. What is P(not less than 5)? = 1 – P(less than 5) = 1 – 6 24 = 18 24 = 3 4 Score on 1st Dice 1 2 3 4 5 6 Score on 2nd Dice 7 8 9 10

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