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.

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’.

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)

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

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

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.

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%

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

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!

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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%

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!

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