SOLUTION: There are 100 employees at Kiddie Carts International. Fifty-seven of the employees are production workers, 40 are supervisors, 2 are secretaries, and the remaining employee is the

Question 329230: There are 100 employees at Kiddie Carts International. Fifty-seven of the employees are production workers, 40 are supervisors, 2 are secretaries, and the remaining employee is the president. Suppose an employee is selected:

a. What is the probability the selected employee is a production worker?
b. What is the probability the selected employee is either a production worker or a supervisor?
c. Refer to part (b). Are these events mutually exclusive?
d. What is the probability the selected employee is neither a production worker nor a
supervisor?

Answer by Fombitz(13828) (Show Source):
You can put this solution on YOUR website!
a) P(prod)=
.
.
.
b) P(prod or super)=P(prod)+P(super)=
.
.
.
c)Yes, you're either a production worker or supervisor because . I guess in this place you can't be both.
.
.
.
d) Then they must be a secretary or president.
P(not prod or super)=P(secr or pres)=P(secr)+P(pres)=
You could also have done it this way,
P(not prod or super)+P(prod or super)=
P(not prod or super)=-P(prod or super)
From b) above
P(not prod or super)=