1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Counting Outcomes Stage 6 - Year 11...
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Transcript of 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Counting Outcomes Stage 6 - Year 11...
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Press Ctrl-APress Ctrl-A©G Dear 2010 – Not to be sold/Free to use
Counting OutcomesCounting OutcomesStage 6 - Year 11Stage 6 - Year 11
Applied Mathematic(Preliminary General 1)
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What occupations use Probability?
Funeral DirectorsEnvironmental health
Risk assessmentGovernment Service
Real Estate
Social Statistics
Risk ManagementActuarial Science
Farmers
Stock Clerks Source: http://www.xpmath.com/careers/topicsresult.php?subjectID=1&topicID=8
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The futility of Gambling!
1 in 9,765,625 for 1st Division
1 in 54,979,155 - 1st Prize
Probability of becoming a Problem Gamblergamblinghelponline.org.au/regaining-control/thinking-straight/what-are-the-odds.aspx
•If you gamble once or more a week on non-lottery types of gambling … 1 in 7.
•If you don't gamble … no chance at all.•If you only gamble occasionally … 1 in 50.
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Multistage Events – Multiplying Choices
When throwing a dice …there are 6 possible outcomes.
When throwing two die …there are 6 possibleoutcomes for the first die and ...there are 6 possible outcomesfor the second die.
Outcomes =6 x 6 = 36
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Multistage Events – Multiplying Choices
Outcomes =6 x 6 = 36
Dice 21 2 3 4 5 6
Dic
e 1
123456
111213141516212223242526313233343536414243444546515253545556616263646566
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Multistage Events – Multiplying Choices
Outcomes =6! =6x5x4x3x2x1= 720
Arrangement of 6 people?
Factorial6
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Multistage Events – Multiplying Choices
Outcomes =5! =5x4x3x2x1 = 120
Arrangement of 5 people?
Factorial5
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Multistage Events – Multiplying Choices
Outcomes =4! =4x3x2x1 = 24
Arrangement of 4 people?
Factorial4
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Multistage Events – Multiplying Choices
Outcomes =3! =3x2x1 = 6
Arrangement of 3 people?
Factorial3
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Multistage Events – Multiplying Choices
Outcomes =2! =2x1 = 2
Arrangement of 2 people?
Factorial2
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Multistage Events – Multiplying Choices
Outcomes =1! =1 = 1
Arrangement of 1 person?
Factorial1
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Multistage Events – Listing Choices
Outcomes =2! =2x1 = 2
Arrangement of 2 letters?
AB
ABBA
Factorial2
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Multistage Events – Listing Choices
Outcomes =3! =3x2x1 = 6
Arrangement of 3 letters?
ABC
ABC
ACBBACBCA
CABCBA
Factorial3
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Multistage Events – Listing Choices
Outcomes =4! =4x3x2x1 = 24
Arrangement of 4 letters?
ABCD
ABCD
ABDCACBDACDBADBCADCB
BACDBADCBCADBCDABDACBDCA
CABDCADBCBADCBDACDABCDBA
DABCDACBDBACDBCADCABDCBA
Factorial4
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BCEDA
Multistage Events – Listing Choices
Outcomes =5! =5x4x3x2x1 = 120
Arrangement of 5 letters?
ABCDE
ABCDEABCEDABDCEABDECABECDABEDC
ACBDEACBEDACDBEACDEBACEBDACEDB
ADBCEADBECADCBEADCEBADEBCADECB
AEBCDAEBDCAECBDAECDBAEDBCAEDCB
BACDEBACEDBADCEBADECBAECDBAEDC
BCADEBCAEDBCDAEBCDEABCEAD
BDACEBDAECBDCAEBDCEABDEACBDECA
BEACDBEADCBECADBECDABEDACBEDCA
CABCDCABDCCADBECADEBCAEBCCAECB
CBADECBAEDCBDAECBDEACDABECDAEB
CDABE
Factorial5
CDAEBCDBAECDBEACDEABCDEBA
CEABDCEADBCEBADCEBDACEDABCEDBA
EABCDEABDCEACBDEACDBEADBCEADCB
EBACDEBADCEBCADEBCDAEBDACEBDCA
ECABDECADBECBADECBDAECABDECADB
EDABCEDACBEDBACEDBCAEDCABEDCBA
DABCEDABECDACBEDACEBDAEBCDAECB
DBACEDBAECDBCAEDBCEADBEACDBECA
DCABEDCAEBDCBAEDCBEADCEABDCEBA
DEABCDEACBDEBACDEBCADECABDECBA
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Multistage Events – Listing Choices
Outcomes =6! =6x5x4x3x2x1= 720
Arrangement of 6 letters?ABCDEF
Forget it.