1. 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).

2. 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’.

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

4. 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.

11. What is P(5, H)? = 1 12 A 6-sided dice and a coin are thrown. 1 2 3 4=
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

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

13. 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) = =
Score on 1st Dice 1 2 3 4 5 6
Score on 2nd Dice 7 8 9 10

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

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

16. 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 – =
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

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

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

19. 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) = =
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

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

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

22. 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)? =
= 1 8
Score on 1st Dice 1 2 3 4 5 6
Score on 2nd Dice 7 8 9 10

23. 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 –
= 1 3
Score on 1st Dice 1 2 3 4 5 6
Score on 2nd Dice 7 8 9 10

24. 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 – =
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

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

26. 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 – =
= 3 4
Score on 1st Dice 1 2 3 4 5 6
Score on 2nd Dice 7 8 9 10

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