- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 3. Probability Concepts
- Subject 2. Unconditional, Conditional, and Joint Probabilities
CFA Practice Question
Sal has a 60% probability of being Salesman of the Month. He has a 40% probability of getting a raise. Sal has a 10% probability of being Salesman of the Month and getting a raise. What is P(Sal gets Salesman of the Month given he gets the raise)?
B. 30%
C. 16.7% to nearest 0.1%
A. 25%
B. 30%
C. 16.7% to nearest 0.1%
Correct Answer: A
In a tree diagram, the event Salesman of Month given raise is represented by the top branch of the second set of branches. To find the probability of this branch we use: 0.4x = 0.1. Now, x = 0.1/0.4 = 1/4 = 0.25. Thus, P(Sal gets Salesman of the Month given raise) = 25%.
User Contributed Comments 4
| User | Comment |
|---|---|
| fedha | P(S)=0.60 P(R)=0.40 P(SR)=0.10 P(S|R)=? We know P(SR)=P(S|R)*P(R)... Therefore 0.10 = y * 0.40 solving for y=0.10/0.40 y = 0.25 ~ 25% ...P(S|R) = 0.25 |
| Fotsta | P(A/B)=P(AB)/P(B)=0,1/0,4=0,25 |
| 2014 | Each event is based on the other event. Practically, applies if u are salesman of the year then only u get raise. So multiply all |
| idzani | That P(S)=60% only serves as a distraction. Didn't really need it in calculation. |