1. Tree Diagrams – Unconditional – 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
Unconditional
Tree Diagrams

4. Choose your numbers…
1 169
37 40
24 169
16 100
8 63
84 100
25 63
17 40
20 40
25 169
48 100
30 63
36 100
38 63
3 40
Draw a 3x3 grid in your book.

5. The numerators of the whole answers.
Choose your numbers…
The numerators of the whole answers. 1 8 17 16 36 3 25 30 37 84 38 24
144 20 48
Draw a 3x3 grid in your book.

6. Jim randomly picks a card from a pack.
He replaces it and picks another.
What is the probability he picks two aces?
1 13
1 13 × 1 13 = 1 169 AA
1 13 A
1 13 × =
12 13 AX
1 13
12 13 × 1 13 = XA
12 13 X
12 13 × =
12 13 XX
1 169

7. A bag contains 6 red cubes and 4 black cubes.
Jane randomly draws a cube. She replaces it and picks another.
What is the probability she picks two red cubes?
6 10
6 10 × 6 10 = RR
6 10 R
6 10 × 4 10 =
4 10 RB
6 10
4 10 × 6 10 = BR
4 10 B
4 10 × 4 10 =
4 10 BB
36 100

8. Jim randomly picks a card from a pack.
He replaces it and picks another.
What is the probability he picks at least one ace?
1 13
1 13 × 1 13 = 1 169 AA
1 13 A
1 13 × =
12 13 AX
1 13
12 13 × 1 13 = XA
12 13 X
12 13 × =
12 13 XX =

9. The probability a football team win their first match is 4/9.
The probability they win their second match is 2/7.
What is the probability the team wins both matches?
2 7
4 9 × 2 7 = 8 63 WW
4 9 W
4 9 × 5 7 = 20 63
5 7 WL
2 7
5 9 × 2 7 = 10 63 LW
5 9 L
5 9 × 5 7 = 25 63
5 7 LL
8 63

10. The probability Jane passes her English test is 5/8.
The probability Tony passes his Geography test 4/5.
What is the probability they both fail their tests?
4 5
5 8 × 4 5 = 20 40 PP
5 8 P
5 8 × 1 5 = 5 40
1 5 PF
4 5
3 8 × 4 5 = 12 40 FP
3 8 F
3 8 × 1 5 = 3 40
1 5 FF
3 40

11. Jim randomly picks a card from a pack.
He replaces it and picks another.
What is the probability he picks exactly one ace?
1 13
1 13 × 1 13 = 1 169 AA
1 13 A
1 13 × =
12 13 AX
1 13
12 13 × 1 13 = XA
12 13 X
12 13 × =
12 13 XX =

12. A bag contains 6 red cubes and 4 black cubes.
Jane randomly draws a cube. She replaces it and picks another.
What is the probability she picks one or more red cubes?
6 10
6 10 × 6 10 = RR
6 10 R
6 10 × 4 10 =
4 10 RB
6 10
4 10 × 6 10 = BR
4 10 B
4 10 × 4 10 =
4 10 BB =

13. The probability a football team win their first match is 4/9.
The probability they win their second match is 2/7.
What is the probability the team wins neither of their matches?
2 7
4 9 × 2 7 = 8 63 WW
4 9 W
4 9 × 5 7 = 20 63
5 7 WL
2 7
5 9 × 2 7 = 10 63 LW
5 9 L
5 9 × 5 7 = 25 63
5 7 LL
25 63

14. The probability Jane passes her English test is 5/8.
The probability Tony passes his Geography test 4/5.
What is the probability they don’t both fail their tests?
4 5
5 8 × 4 5 = 20 40 PP
5 8 P
5 8 × 1 5 = 5 40
1 5 PF
4 5
3 8 × 4 5 = 12 40 FP
3 8 F
3 8 × 1 5 = 3 40
1 5 FF
1 − 3 40 = 37 40

15. Jim randomly picks a card from a pack.
He replaces it and picks another.
What is the probability he doesn’t pick an ace?
1 13
1 13 × 1 13 = 1 169 AA
1 13 A
1 13 × =
12 13 AX
1 13
12 13 × 1 13 = XA
12 13 X
12 13 × =
12 13 XX

16. A bag contains 6 red cubes and 4 black cubes.
Jane randomly draws a cube. She replaces it and picks another.
What is the probability she picks exactly one red cube?
6 10
6 10 × 6 10 = RR
6 10 R
6 10 × 4 10 =
4 10 RB
6 10
4 10 × 6 10 = BR
4 10 B
4 10 × 4 10 =
4 10 BB =

17. The probability Jane passes her English test is 5/8.
The probability Tony passes his Geography test 4/5.
What is the probability only one of them passes their test?
4 5
5 8 × 4 5 = 20 40 PP
5 8 P
5 8 × 1 5 = 5 40
1 5 PF
4 5
3 8 × 4 5 = 12 40 FP
3 8 F
3 8 × 1 5 = 3 40
1 5 FF
= 17 40

18. The probability a football team win their first match is 4/9.
The probability they win their second match is 2/7.
What is the probability the team wins at least one of their matches?
2 7
4 9 × 2 7 = 8 63 WW
4 9 W
4 9 × 5 7 = 20 63
5 7 WL
2 7
5 9 × 2 7 = 10 63 LW
5 9 L
5 9 × 5 7 = 25 63
5 7 LL
= 38 63

19. A bag contains 6 red cubes and 4 black cubes.
Jane randomly draws a cube. She replaces it and picks another.
What is the probability she doesn’t pick a red cube?
6 10
6 10 × 6 10 = RR
6 10 R
6 10 × 4 10 =
4 10 RB
6 10
4 10 × 6 10 = BR
4 10 B
4 10 × 4 10 =
4 10 BB
16 100

20. The probability Jane passes her English test is 5/8.
The probability Tony passes his Geography test 4/5.
What is the probability they both pass their tests?
4 5
5 8 × 4 5 = 20 40 PP
5 8 P
5 8 × 1 5 = 5 40
1 5 PF
4 5
3 8 × 4 5 = 12 40 FP
3 8 F
3 8 × 1 5 = 3 40
1 5 FF
20 40

21. The probability a football team win their first match is 4/9.
The probability they win their second match is 2/7.
What is the probability the team wins only one of their matches?
2 7
4 9 × 2 7 = 8 63 WW
4 9 W
4 9 × 5 7 = 20 63
5 7 WL
2 7
5 9 × 2 7 = 10 63 LW
5 9 L
5 9 × 5 7 = 25 63
5 7 LL
= 30 63

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