Convergence in Probability Example

MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013
Instructor: Kuang Xu

License: Creative Commons BY-NC-SA

[mingwen]

Hi, in 3:45, How comes P( | Yi | >= e) <= P ( | 1/i | >= e ) give |Yi| <= 1/i; Shouldn't be P( | Yi | >= e) >= P ( | 1/i | >= e ) ?

[duyho]

How did you give the Probability of 2 * 1/2 ( 1 - epsilon * 1/i). How can it be checked?