(1-1/3)(1-1/4)(1-1/5)......(1-1/99)(1-1/100)
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1/50 is the answer
(2/3)(3/4)(4/5).....(98/99)(99/100)
all will be cancelled except 2/100
(2/3)(3/4)(4/5).....(98/99)(99/100)
all will be cancelled except 2/100
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