Sanderson M. Smith
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THE GEOMETRIC SETTING (MINIPROJECT BY BRAD)
Brad's poster provides an explanation of the geometric setting along with an example.
The geometric setting:
Brad's graphics display relates to the random variable x, where x is the number of times a single die must be rolled until a 6 occurs. Possible values for x are 1,2,3,4,......
Here are some of the probabilities displayed in Brad's chart.
Value of x 


1/6 = 16.67% 

(5/6)(1/6) = 13.89% 

(5/6)^{2}(1/6) = 11.57% 

(5/6)^{3}(1/6) = 9.65% 

(5/6)^{4}(1/6) = 8.04% 

(5/6)^{5}(1/6) = 6.70% 

(5/6)^{6}(1/6) = 5.58% 

(5/6)^{7}(1/6) = 4.65% 

(5/6)^{8}(1/6) = 3.88% 

(5/6)^{9}(1/6) = 3.23% 

(5/6)^{10}(1/6) = 2.69% 

(5/6)^{11}(1/6) = 2.24% 

(5/6)^{12}(1/6) = 1.87% 

(5/6)^{13}(1/6) = 1.56% 

(5/6)^{14}(1/6) = 1.30% 

(5/6)^{15}(1/6) = 1.08% 

(5/6)^{16}(1/6) = 0.90% 

(5/6)^{17}(1/6) = 0.75% 

(5/6)^{18}(1/6) = 0.63% 

(5/6)^{19}(1/6) = 0.52% 
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