Question

According to a recent​ study, 9.3​% of high school dropouts are​ 16- to​ 17-year-olds. In​ addition, 6.3​% of high school dropouts are white​ 16- to​ 17-year-olds. What is the probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old?

Answer 1

Answer:
`(21)/(31)`

Explanation:

Let A represents the event that high school dropouts are ​16- to​ 17-year-olds and B be the event that high school dropouts are ​white.

Given : The probability of high school dropouts are​ 16- to​ 17-year-olds :
`P(A)=0.093`

The probability of of high school dropouts are white​ 16- to​ 17-year-olds :

`P(A\cap B)=0.063`

Then , the conditional probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old is given by :-

`P(B|A)=(P(A\cap B))/(P(A))\\\\\Rightarrow\ P(B|A)=(0.063)/(0.093)=(21)/(31)`