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[" | NSW Department of Education"]
["Myths and Misconceptions"]
["Learning intention"]
["•   To be able to make a prediction based on theoretical probability"]
["•   To be able to justify a prediction based on relative frequency of an experiment"]
["Success criteria"]
["•    I can make a prediction of the outcome of an event"]
["•    I can create simulations of tossing a coin"]
["•    I can make a prediction based on relative frequency of an experiment conducted"]
["Outcomes"]
["•   develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly MAO-WM-01"]
["•   solves problems involving the probabilites of simple chance experiments  MA4-PRO-C-01"]
["Mathematics K–10 Syllabus © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2022."]
["© NSW Department of Education, 2023"]

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[]
["The problem"]
["I am going to toss a coin 20 times. Suppose that the first four tosses have been heads."]
["What do you expect from the next 16 tosses?"]
["Student A: Believes I will get 10 heads and 10 tails, so I should expect 10 tails and 6 heads from the remaining 16 tosses."]
["Student B: Believes, for the remaining 16 tosses I will get 8 heads and 8 tails."]
["Who is  correct?"]
[]
["Continue to press the Refresh button until you have four Heads in a row (red section)."]
["Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
["Use the Copy data set button to clear the data from the table and start again."]

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[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
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[null,"T"]
[null,"H"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[]
[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"H"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[]
[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"H"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"H"}]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"H"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[]
[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"H"}]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"H"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[]
[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"T"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"H"}]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]

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[]
[null,"Myths and Misconceptions"]
[]
[null,"Continue to press the Refresh button until you have four Heads in a row (red section)."]
[]
[null,"Use the Copy data set buttons, to copy your results into the appropriate column of the table."]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Data set 1","Data set 2","Data set 3","Data set 4","Data set 5"]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"H"}]
[null,{"$f":"IF(RANDBETWEEN(0,1)=0, \"H\",\"T\")","v":"H"}]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"H"]
[null,"H"]
[null,"H"]
[null,"T"]
[null,"T"]
[null,"T"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student A:",null,null,null,null,null,"Average"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total heads",{"$f":"COUNTIF(N9:N28,\"H\")","v":0},{"$f":"COUNTIF(O9:O28,\"H\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N31:R31)/T31,0)","v":0},{"$f":"COUNTIF(N31:R31,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Total tails",{"$f":"COUNTIF(N9:N28,\"T\")","v":0},{"$f":"COUNTIF(O9:O28,\"T\")","v":0},0,0,0,{"$f":"IFERROR(SUM(N32:R32)/T32,0)","v":0},{"$f":"COUNTIF(N32:R32,\"<>0\")","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Student B:"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining heads",{"$f":"COUNTIF(N13:N28,\"H\")","v":0},{"$f":"COUNTIF(O13:O28,\"H\")","v":0},0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,"Remaining tails",{"$f":"COUNTIF(N13:N28,\"T\")","v":0},{"$f":"COUNTIF(O13:O28,\"T\")","v":0},0,0,0,0,0]