Question

A warehouse employs 21 workers on first​ shift, 15 workers on second​ shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly two second shift workers and two third shift workers.

Answer 1

Answer: Our required probability is 0.11.

Step-by-step explanation:

Since we have given that

Number of workers in first shift = 21

Number of workers in second shift = 15

Number of workers in third shift = 13

We need to find the probability of choosing exactly two second shift workers and two third shift workers.

So, it becomes,

$\dfrac{^{15}C_2\times ^{13}C_2\times ^{21}C_4}{^{49}C_8}\\\\=0.11$

Hence, our required probability is 0.11.