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

Answer:

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

Step-by-step 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:

$P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}$

$P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}$

$P(Female\ or\ Physics) = \frac{19}{50}$

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