A test for colorblindness...

Question

A test for colorblindness was conducted on 1,023 students in a high school. The results based on genders.

 

Not Colorblind

Female: 474

Male: 515

 

Colorblind

Female: 15

Male: 19

 

What is the probability that a person selected at random is colorblind?

 

What is the probability that a person selected at random is male and colorblind?

 

What is the probability that a person selected is male given that the person is colorblind?

Answer 1

15 + 19 = 34 (total colorblind)

So there are 34 colorblind people per 1,023, or 34/1023 (which is about 3.3%)

 

Out of the test group, 19 are both male and colorblind, or 19/1023 (which is about 1.8%)

 

 

Out of the colorblind test group, 19 are male, or 19/34 (Which is about 55.9%)

Answer 2

1. All colorblind/All students = 34/1023

 

2. All male and colorblind/All students = 19/1023

 

3. All male and colorblind/All colorblind = 19/34