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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_{i=0}^\inf x^i = 1\{1-x}, for |x| < 1 $

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