(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)

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(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)(1-1/100)*(1-1/99)*(1-

(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)
(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)

(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)
=(99/100)*(98/99)*(97/98)*……*(3/4)*(2/3)
中间可以约分
=2/100
=1/50

99/100*98/99......2/3=1/50

:(1-1/100)*(1-1/99)*(1-1/98)*。。。*(1-1/3)
=99/100*98/99*97/98*96/97*..*2/3
=2/100
=1/50

原式=99/100x98/99X…x2/3x1/2=1/100