CP Statistics
Addition Rules of Probability
For problems 1 – 6 determine whether the events given are mutually exclusive or
not mutually exclusive.
1.
a.
b.
Selecting a cardiac surgeon
Selecting a female physician.
2.
a.
b.
Selecting a female college student
Selecting a college student who drives a motorcycle.
3.
a.
b.
Selecting someone treated with the cholesterol-reducing drug Lipitor.
Selecting someone in a control group given no medication.
4.
a.
b.
Selecting a head of household watching NBC at 8:15 on Tuesday night.
Selecting a head of household watching CBS at 8:15 on Tuesday night.
5.
a.
Receiving a phone call from a volunteer survey subject who opposes all
government taxation.
Receiving a phone call from a volunteer survey subject who approves of
government taxation.
b.
6.
a.
b.
Selecting a US Senator currently holding office.
Selecting a female elected official.
Find the probability for each of the following events.
7.
The soccer team’s shirts have arrived in a big box, and people just start
grabbing them, looking for the right size. The box contains 4 medium, 10 large
and 6 extra large. What is the probability you get a medium or an extra large?
8.
A check of dorm rooms on a large college campus revealed that 38% had
refrigerators, 52% had TVs and 21% had both a TV and a refrigerator. What is
the probability a randomly selected dorm room has a TV or a refrigerator?
9.
Employment data at a large company reveal that 72% of the workers are
married, that 44% are college graduates, and that half of the college grads are
married. What is the probability that a randomly selected worker is married
and a college graduate?
10.
You are going to randomly select a card from a standard 52 card deck (if you
don’t know what cards are in a deck refer to notes from section 1). Find the
probability of drawing a king or club.
In a sales effectiveness seminar, a group of sales representatives tried two approaches
to selling a customer a new automobile: the aggressive approach and the passive
approach. From 1160 customers, the following record was kept.
Aggressive (A)
Passive (P)
Total
Sale (S)
270
416
686
No Sale (N)
310
164
474
Total
580
508
1160
Find the following probabilities if a customer is selected at random.
11.
P(A) =
12.
P(N)=
13.
P(A or N)
14.
P(S or P)
15.
P(A or S)
16.
P(N or P)
Use the diagram to the right to find the following probabilities. The diagram describes
the blood groups and Rh types of 100 people based on data from the Greater New York
Blood Program. (HINT: Make a table like the one above)
17.
P(not group A)
18.
P(type Rh  )
19.
P(group A or type Rh  )
20.
P(group A or group B)
21.
P(not type Rh  )
22.
P(group B or type Rh  )
23.
P(group AB or type Rh  )