Question 1
Suppose that 62% of the employees at a company are male and that 35% of the employees just received merit raises. If 20% of the employees are male and received a merit raise, what is the probability that a randomly chosen employee is male given that the employee received a merit raise?
Question 2
The table displays the probabilities for each of the six outcomes when rolling a particular unfair die. Suppose that the die is rolled once. Let
A be the event that the number rolled is less than 4, and let
B be the event that the number rolled is odd.
Outcome | 1 | 2 | 3 | 4 | 5 | 6 |
Probability | .1 | .1 | .1 | .2 | .2 | .3 |
Find
P(
A |
B).