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1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Experimental Validity Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

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Presentation on theme: "1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Experimental Validity Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)"— Presentation transcript:

1 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Experimental Validity Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

2 2 Theoretical versus Experimental

3 3 Two dice a rolled What is the probability that they add to 7? + 1 2 3 4 5 6 123456123456 234567 345678 456789 5678910 6789 11 789101112 n(S) = 36 n(E) = P(E)= n(E) n(S) 6 6 36 = 1 6 =

4 4 Theoretical versus Experimental Two dice a rolled What is the probability that they add to 7? Reset 1 12345678910111213141516171819202122232425 2 12345678910111213141516171819202122232425 3 12345678910111213141516171819202122232425 4 12345678910111213141516171819202122232425 5 12345678910111213141516171819202122232425 6 12345678910111213141516171819202122232425 7 12345678910111213141516171819202122232425 8 12345678910111213141516171819202122232425 9 12345678910111213141516171819202122232425 10101010 12345678910111213141516171819202122232425 11111111 12345678910111213141516171819202122232425 12121212 12345678910111213141516171819202122232425

5 5 Theoretical versus Experimental Two coins a tossed What is the probability that they add to HT? + H T HTHT HHHT THTT n(S) = 4 n(E) = P(E)= n(E) n(S) 2 2 4 = 1 2 =

6 6 Theoretical Versus Experimental Two coins a tossed What is the probability that they add to HT? HHHHHHHH 12345678910111213141516171819202122232425 HT 12345678910111213141516171819202122232425 TTTTTTTT 12345678910111213141516171819202122232425

7 7 Theoretical versus Experimental Only Works With Lots of Throws


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