Twenty employees agree that each week one of them will be randomly selected to lead the weekly team meeting (if repetition is allowed). Over the course of a year, how many times can a specific employee expect to be selected as the meeting leader?

(a) Once
(b) Never
(c) Three times
(d) Cannot be determined

Question

Twenty employees agree that each week one of them will be randomly selected to lead the weekly team meeting (if repetition is allowed). Over the course of a year, how many times can a specific employee expect to be selected as the meeting leader?

(a) Once
(b) Never
(c) Three times
(d) Cannot be determined

ONLiNE UPSC · Accepted Answer

There are 20 employees, and one is randomly selected each week to lead the team meeting.

This happens once per week for 12 months, so there are 52 selections in a year as total 52 weeks are there.

Each time, every person has an equal chance of being selected as repetition is allowed: 1/52.

For any specific employee, the number of times they are selected depends on chance &mdash; it's a random process. They might be selected once, more than once, not at all, or even multiple times.

Therefore, the exact number of times a specific employee will be selected cannot be predicted in advance.

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