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10.07 Honors Project

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by

Haley Hogan

on 13 November 2017

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Transcript of 10.07 Honors Project

Part 1
Combination: 40C10=40!/(10!(40-10))
40C10=847,660,528
There are 847,660,528 different ways to select a participant.
Probabilities:
Group A: 60% (saw)
40% (did not)
Group B: 70% (saw)
30% (did not)
Group C: 50% (saw)
50% (did not)
Group D: 40% (saw)
60% (did not)
Groups A & B: 65% (saw) 35% (did not)
Groups C & D: 45% (saw)
55% (did not)

1. The results for the pill are not significant enough for it to be mass produced
2. There was not much difference between whether the participant did or didn't know.
3. I believe that the test should be conducted on a larger group of individuals so that the results are more accurate.
Part 2
Permutation: 15P4=15!/(15!-4)!)
15P4=32,760
There is 32,760 different options to select the board.
10.07 Honors Project
Results No Results Total
A 6 4 10
B 7 3 10
C 5 5 10
D 4 6 10

Total 22 18 40
The probability of being given the pill and not seeing results is 39%
The probability of getting the pill and seeing results is 61%
Full transcript