Question

(1-1/50)(1-1/49)(1-1/48)···(1-1/4)(1-1/3)急啊急啊急啊

(1-1/50)(1-1/49)(1-1/48)···(1-1/4)(1-1/3)拜托拜托了

Answer 1

(1-1/50)(1-1/49)(1-1/48)···(1-1/4)(1-1/3)=(49/50)*(48/49)*(47/48).....(3/4)*(2/3)=2/50=1/25
前一个分数的分子和后一个分数的分母相消

Answer 2

(1-1/50)(1-1/49)(1-1/48)···(1-1/4)(1-1/3)
=2/3 *3/4 *4/5*.........*49/50
=2/50
=1/25

Answer 3

=2/50=1/25

Answer 4

49/50*48/49.....3/4*2/3=1/25

Answer 5

(1-1/50)(1-1/49)(1-1/48)···(1-1/4)(1-1/3)=49/50 * 48/49 * 47/48 *.......3/4 * 2/3=1/25