Question 172110
Gender Accounting Management Finance Total
Male...... 100...... 150...... 50.....300
Female.....100........50...... 50.... 200
Total..... 200...... 200..... 100.... 500

a) What is the probability of selecting a female student?
Ans: 200/500 = 2/5
------------------------------ 
b) What is the probability of selecting finance or accounting major?
Ans: (100 + 200)/500 = 3/5
------------------------------ 
c) What is the probability of selecting a female or an accounting major? Which rule of addition did you apply?
Ans: (200+200-100)/500 = 3/5
P(A or B) = P(A) + P(B) - P(A and B)
------------------------------
d) Are gender and major independent? Why?
Ans: ?
------------- 
e) What is the probability of selecting an accounting major, given that the person selected is a male? 
Ans: P(A|M) = 100/200 = 1/2
-----------------------------------
f) Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability that both of those students are accounting majors?
Ans: (2/5)^2 = 4/25
===============================
Cheers,
Stan H.