# Thread: Probability of different events.

1. ## Probability of different events.

The human resources department at a large company looked at the personnel records of all of its
employees and found that 72% of its employees were married and 40% had a university degree. Further
investigation found that 55% of its university graduates were married. Suppose that an employee is selected
at random.
(A) What is the probability that the individual has a university degree and is married?
(B) What is the probability that the individual has a university degree or is married, or both?
(C) What is the probability that the individual has a university degree or is married, but not both?
(D) What is the probability that the individual does not have a university degree and is not married?
(E) If the individual is married, what is the probability they have a university degree?
(F) Are the events “having a university degree” and “being married” independent? Explain.
(G) Are the events “having a university degree” and “being married” mutually exclusive? Explain.

A) is 0.55
B) 0.72+0.40-0.55 = 0.57
C) 1-0.57 =
D)1-0.55=
E) ?
F) ?
G) ?

Is this right? I need help in the others please.

2. ## Re: Probability!

Originally Posted by jakeroy17
The human resources department at a large company looked at the personnel records of all of its
employees and found that 72% of its employees were married and 40% had a university degree. Further
investigation found that 55% of its university graduates were married. Suppose that an employee is selected
at random.
(A) What is the probability that the individual has a university degree and is married?
(B) What is the probability that the individual has a university degree or is married, or both?
(C) What is the probability that the individual has a university degree or is married, but not both?
(D) What is the probability that the individual does not have a university degree and is not married?
(E) If the individual is married, what is the probability they have a university degree?
(F) Are the events “having a university degree” and “being married” independent? Explain.
(G) Are the events “having a university degree” and “being married” mutually exclusive? Explain.

A) is 0.55
B) 0.72+0.40-0.55 = 0.57
C) 1-0.57 =
D)1-0.55=
E) ?
F) ?
G) ?

Is this right? I need help in the others please.
I only checked A). It's wrong. The answer is (0.55)(0.4) = .....

I suggest you construct a Venn diagram to help answer the remaining questions.