Question

(1-1/2)x(1-1/2)x...x(1-100)

Answer 1

Ta có 1-1/2 =1/2 
1-1/3=2/3 
1-1/4=3/4 
....... 
1- 1/100=99/100 
=> P= 1/2x2/3x3/4x....x99/100 
= ( 1x2x3x...x 99)/ (2x3x4x...x100) 
=1/1000 

Answer 2

( 1 - 1/2 ) x ( 1 - 1/2 ) x ... x ( 1-100 )

 1 - 1/3 = 2/3

1 - 1/4 = 3/4

.........

1 - 1/100 = 99/100

=> = 1/2 x 2/3 x 3/4 x ... x99/100

=> = ( 1 x 2 x 3 x ..x 99 ) / ( 2 x 3 x 4 x .. x 100 )

=> = 1/100