Question

A physics class has students. Of​ these, students are physics majors and students are female. Of the physics​ majors, are female. Find the probability that a randomly selected student is female or a physics major.

Answer 1

`P(Female\ or\ Physics) = 0.38`

Explanation:

Given

`n = 50` --- total

`Physics =10`

`Female= 12`

`Both = 3`

Required

`P(Female\ or\ Physics)`

This is calculated as:

`P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)`

So, we have:

`P(Female\ or\ Physics) = (Female+ Physics - Both)/(n)`

`P(Female\ or\ Physics) = (10+ 12- 3)/(50)`

`P(Female\ or\ Physics) = (19)/(50)`

`P(Female\ or\ Physics) = 0.38`