(1-1/2)*(1-1/3)*(1-1/4)*...*(1-1/99)*(1-1/100)=
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(1-1/2)*(1-1/3)*(1-1/4)*...*(1-1/99)*(1-1/100)=
(1-1/2)*(1-1/3)*(1-1/4)*...*(1-1/99)*(1-1/100)=
(1-1/2)*(1-1/3)*(1-1/4)*...*(1-1/99)*(1-1/100)=
1/100
?
1/100
1/2*2/3*3/4*4/5………*99/100=1/100