1. Probability – Expectation – Worksheet A
In this activity students repeat an experiment 25/50 times and
record the ‘wins’ and ‘losses’.
The worksheets are in a variety of sizes and formatted for flipping a coin,
spinning a spinner, and a universal sheet for any experiment.
Templates for spinners are included. Students should stick them to
cardboard and pierce the centre with a pencil.

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’.

6. What is the probability of this happening?
50 flips, all landing on heads.
Same as winning the lottery twice in a row. 8.9x10-16, 1 in 1 Quadrillion (15 zeros)

7. Glue the spinner to some cardboard.
Cut the spinner out.
Pierce the centre with a pen or pencil
(Be careful!)

8. What can we say about this spinner?
How could we work out the probability of winning?

9. 50 Flips! START 50 40 30 20 10 HEADS 100% 80% 60% 50% 40% 20% TAILS 0%
In this experiment you will flip a coin 50 times and record if it lands heads or tails.
How many of each result do you expect?
Tails = Go LEFT
Heads = Go RIGHT
100% 0%
50%
80%
20%
60%
40%
How lucky were you?
Compare your expectation with the result.

11. 25 Flips! 25 Flips! START 20 10 START 20 10 100% 0% 50% 80% 20% 60%
TAILS 20 10
HEADS
25 Flips!
In this experiment you will flip a coin 25 times and record if it lands heads or tails.
How many of each result do you expect?
Tails = Go LEFT
Heads = Go RIGHT
How lucky were you?
Compare your expectation with the result.
100% 0%
50%
80%
20%
60%
40%
START
TAILS 20 10
HEADS
25 Flips!
In this experiment you will flip a coin 25 times and record if it lands heads or tails.
How many of each result do you expect?
Tails = Go LEFT
Heads = Go RIGHT
How lucky were you?
Compare your expectation with the result.
100% 0%
50%
80%
20%
60%
40%

13. 25 Spins! START 10 20 30 40 50 100% WIN! 80% 60% 50% 40% 20% LOSE! 0%
WIN = Go RIGHT
Spin the spinner 50 times and record if
How many of each result do you expect?
it lands on win or lose.
100% 0%
50%
80%
20%
60%
40%
How lucky were you?
Compare your expectation with the result.
START
LOSE = Go LEFT
25 Spins!
LOSE! 10 20 30 40 50

15. 25 Spins! 25 Spins! 20 10 START 20 10 START 100% 0% 50% 80% 20% 60%
How lucky were you?
Compare your expectation with the result.
100% 0%
50%
80%
20%
60%
40%
START
Spin the spinner 25 times and record if
How many of each result do you expect?
it lands on win or lose.
LOSE = Go LEFT
WIN = Go RIGHT
25 Spins!
LOSE!
WIN! 20 10
How lucky were you?
Compare your expectation with the result.
100% 0%
50%
80%
20%
60%
40%
START
Spin the spinner 25 times and record if
How many of each result do you expect?
it lands on win or lose.
LOSE = Go LEFT
WIN = Go RIGHT
25 Spins!
LOSE!
WIN!

17. Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose

18. Win
Lose
Win
Lose
Win
Lose
Lose
Win
Lose
Win
Lose
Win
Lose
Win

19. Lose
Lose
Lose
Lose
Lose
Lose
Lose
Lose
Lose
Win
Win
Win
Lose
Lose
Lose
Lose
Lose
Lose
Lose
Lose
Lose
Win
Win
Win

20. Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose

21. Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose

22. Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose

23. Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose
Win
Lose

24. START
LOSE! 50 40 30 20 10
WIN!
How lucky were you?
Compare your expectation with the result.
Run the experiment 50 times and record if you win or lose each time.
How many of each result do you expect?
LOSE = Go LEFT
WIN = Go RIGHT
100% 0%
50%
80%
20%
60%
40%

26. 20 10 START 20 10 START 100% 0% 50% 80% 20% 60% 40% 100% 0% 50% 80%
How lucky were you?
Compare your expectation with the result.
100% 0%
50%
80%
20%
60%
40%
LOSE = Go LEFT
WIN = Go RIGHT
Run the experiment 25 times and record if you win or lose each time.
How many of each result do you expect?
START
LOSE!
WIN! 20 10
How lucky were you?
Compare your expectation with the result.
100% 0%
50%
80%
20%
60%
40%
LOSE = Go LEFT
WIN = Go RIGHT
Run the experiment 25 times and record if you win or lose each time.
How many of each result do you expect?
START
LOSE!
WIN!

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