Find the value of (1 – 1/3) (1-1/4)(1- 1/5) ….. (1 – 1/100)

Answer: (b) 1/50 

Solution:-
(1-1/3)(1-1/4)(1-1/5)………(1-1/n) = (2/3) x (3/4) x (4/5)x…..(n – 1)/n
= (2/n)

Then, the value of (1 – 1/3) (1 – 1/4) (1 – 1/5) ……………. (1 – 1/100)
 = 2/100
 = 1/50

Hence, the correct answer is option (b) 1/50.