There are 5 applicants for a job, all of whom have different qualifications. the employer is in a hurry, and does not interview

Social: The families are negatively affected by the war.
Technology: Weapons and other technologies are used as part of the war.
Economic: The economy of the countries involved and other nearby countries can be negatively or positively affected.
Environmental: There is pollution due to waste derived from weapons.
Political: Most wars are the result of political conflicts.
Legal: There are specific international rules that regulate wars.
Ethical: The use of weapons against a population rises ethical concerns and dilemmas.

Question

3 years ago

14

There are 5 applicants for a job, all of whom have different qualifications. the employer is in a hurry, and does not interview

the applicants or check their references. 2 of the applicants are hired. what is the probability that the employer actually hired the 2 best applicants?

Business

1 answer:

Alenkinab [10] · Answer 1 · 2021-11-15T19:08:05+03:00

To choose the two best, we have a target of two candidates, A & B
The first one chosen is either A or B, with a propability of 2/5.
The second one is the only interested candidate out of 4, so 1/4.
So probability of choosing the best two is 2/5*1/4=1/10.

Alternatively, use the combination formula,
P(AB in any order) = 5!/(2!3!)=120/(2*6)=1/10
or in general,
n choose r = nCr = n!/(r!(n-r)!)