Question

According to the Stack Overflow Developers Survey of 20184 , 25.8% of developers are students. The probability that a developer is a woman given that the developer is a student is 7.4%, and the probability that a developer is a woman given that the developer is not a student is 76.4%. If we encounter a woman developer, what is the probability that she is a student

Answer 1

3.26%

Explanation:

The computation of the probability that she is a student is shown below:

Percentage of student developers = 25.8% = SD

The Percentage of the developer is student = 7.4% = DS

The percentage of the developer is not student = 76.4% = ND

Based on this, the probability is

`= (SD * DS)/(SD * DS + DS * ND)`

`= (25.8\% * 7.4\%)/(25.8\% * 7.4\% + 7.4\% * 76.4\%)`

=3.26%

we simply considered all the elements