table:
Male Female

Jobs

Admin 110 10

Staff 30 50

Hourly 60 40

What is the probability that an employee picked at random is female or works as a admin.

table:
Male Female

Jobs

Admin 110 10

Staff 30 50

Hourly 60 40

What is the probability that an employee picked at random is female or works as a admin.
Couple of ways to look at this. When given an "OR" probability problem it is often helpful to think through all the cases that satisfy the OR condition, and then add those up. Here you could add together the probabilities that the person is (a) female and admin, plus (b) female and not admin, plus (c) male and admin. When you do take this approach be careful to not inadverdently double count some cases. Or you can think through the reverse problem - here the prob that a person is female OR Admin is 1 minus the prob that a person is NEITHER female NOR admin. That'll work too.

table:
Male Female

Jobs

Admin 110 10

Staff 30 50

Hourly 60 40

What is the probability that an employee picked at random is female or works as a admin.

(10 + 50 + 40 + 110 - 10)/(110 + 30 + 60 + 10 + 50 + 40)