Question

In a personnel recruitment process, it has been determined that the probability of
an interviewee is made an offer of employment is 0.40 regardless of who
be. Alberto, Bernie, Carlitos, Daniela and Emilia are interviewed. Which is the
probability that
a) all of them are offered employment?
b) none of them are offered work?
c) at least one of them is offered employment?

Answer 1

a) Probability that all of them are offered employment is computed here as:

= 0.4*0.4*0.4*0.4*0.4

= 0.01024

Therefore 0.01024 is the required probability here.

b) Probability that none of them are offered job is computed here as:

= 0.6*0.6*0.6*0.6*0.6

= 0.07776

Therefore 0.07776 is the required probability here.

c) Probability that at least one of them is offered employment

= 1 - Probability that none of them is offered employment

= 1 - 0.07776

= 0.92224

Therefore 0.92224 is the required probability here.