(Part(a))
(Part(a))
Line 9: Line 9:
 
Recall geometric series:
 
Recall geometric series:
  
<math> \sum_{\imath=0}^{\infty} </math>  
+
<center><math> \sum_{\imath=0}^{\infty} x^{\imath}= \frac{1}{1-x} </math>  
  
 
for |x| < 1
 
for |x| < 1

Revision as of 16:05, 9 September 2008

Part(a)

     Show that P(B) > P(C) > P(T) > P(A):

- P(H) = p , 0 < p < 1

$ P(B) = p + p(1-p)^4 + p(1-p)^8 + \dots + p(1-p)^{4(n-1)} $

Recall geometric series:

$ \sum_{\imath=0}^{\infty} x^{\imath}= \frac{1}{1-x} $ for |x| < 1

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