Suppose there are 30 people in a jury pool and the final jury will consist of 12 of these people. Suppose that among the 30, there are 17 whites and 13 non-whites. And suppose that the jury ends up being all white. What is the probability of this happening, if all possible 12-person juries has been equally likely?

Respuesta :

Answer:

Step-by-step explanation:

Total number of people, n = 30

number of white people = 17

number of non white people = 13

number of selected person which are white = 12

So, the number of ways to select the 12 white people out of 17 white people

= [tex]^{12}C_{17}=\frac{17!}{12!\times 5!}=6188[/tex]

the number of ways to select 12 white people out of total 30 people

[tex]^{30}C_{12}=\frac{30!}{12!\times 18!}=86410772.88[/tex]

So, the probability to select 12 white people out of 30 people is

[tex]\frac{6188}{86410772.88}=7.2\times 10^{-5}[/tex]