Question

There are 4 employees in a company and the employer wants to arrange a working schedule next week (7 days), there will be exactly one employee at work every day. Calculate the probability that every employee will be at least 1 day at work.

Answer 1

Solution:

Let be a random variable which represents the number of days of working schedule

Here , Sample size ,

Probability that employee work on one day

So, by using binomial distribution,

the probability that every employee will be at least 1 day at work is given by,

(round to four decimal places)

So, the probability that every employee will be at least 1 day at work is 0.8665

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