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Toilet Paper Toss

Math project/carnival game thing
by

Mandy Holasek

on 21 October 2011

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Transcript of Toilet Paper Toss

Toilet Paper Toss Proposal We wanted to do a toilet paper toss, which is basically a box with an opening that a person would try to toss a toilet paper role into. 50¢ Rules: Each player gets 3 chances to throw a toilet paper role into the toilet seat to try and win. Prizes:: 0-1 shots made = no prize
2 shots made= small prize
3 shots made= Grand Prize Problems? The box was too tall so people couldnt aim very well. We made people stand to far away. Didn't have 3 roles of toilet paper. Theoretical Probablility Expiremental Probability Comparison Changes? Gotten a shorter/stabler box
Let people stand closer
Bring extra toilet paper roles Profit A=(pi)r^2 Area of the box opening = (pi) 6^2= 113.1 in. Area of the miss zone = (pi) 36^2= 4071.5 in. So, 113.1 = P 4071.5 Total # of plays scoring 0-1= 46 Total # of plays scoring 2= 4 Total # of plays scoring 3= 0 Soo... 46 = 23 50 25 4 = 2 50 25 And, 0 50 P=.028 N=3 P=(NX)(P^x)(q^n-x) X=1 Q=.972 P=(3 1)(.028^1)(.971^(3-1)) P=3(.028^1)(.971^2) P=.079 N=3 X=2 P=.028 Q=.972 P=(3 2)(.028^2)(.971^(3-2)) P=3(.028^2)(.971^1) P=.0023 2 Shots 1 Shot 3 Shots N=3 X=3 P=.028 Q=.971 P=(3 3)(.028^3)(.971^(3-3)) P=1(.028^3)(.971^0) P=.00002 N=3 X=3 P=.028 Q=.971 23 =.92=Q 25 N=3 X=1 P=.08 Q=.92 P=(3 1)(.08^1)(.92^(3-1)) P=3(.08^1)(.92^2) P=.203 2 =.08=P 25 N=3 X=2 P=.08 Q=.92 P=(3 2)(.08^2)(.92^(3-2)) P=3(.08^2)(.92^1) P=.018 0 = 0 50 N=3 X=3 P=.08 Q=.92 P=(3 3)(.08^3)(.92^(3-3)) P=1(.08^3)(.92^0) P=.000512 Expiremental Theoretical The expiremental probabilities tended to be higher than the theoretical probablilities suggesting that people did better than expected according to the measurements (based on theoretical probability) 50 Plays= 500 Plays= 1000 Plays= Costs: Box=$3 Toilet Paper=$5 Toilet Seat=$10 Small Prize=10¢ Big Prize=$1 .0023*50=.115*.10=.01*50= $.50 .00002*50=.001*1=.001*50= $.05 .079*50=3.95*0=0*50= $0 .079*500=39.5*0=0*500= $0 .0023*500=1.15*.10=.115*500= $57.5 .00002*500=.01*1=.01*500= $5 .079*1000=79*0=0*1000= $0 .0023*1000=2.3*.10=.23*1000= $230 .00002*1000=.02*1=.02*1000= $20 Potential= .50*50= $25-.55= 24.45-18= $6.45 + $.55 + $62.50 + $250 Potential= .50*1000= $500-250= 250-18= $232 Potential= .50*500= $250-62.50= 187.50-18= $169.50
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