AP Statistics
Additional Probability 2
Name:__________________________________
Match the following problems with a solution:
Suppose that 60% of all customers of a large insurance agency have automobile policies with the
agency, 40 % have homeowners’ policies, and 25% have both. Find P(randomly chosen customer has
neither type of policy).
Let A and B be two mutually exclusive events for which P(A) = 0.15 and P(B) = 0.3. Find P(A and B).
How many 4 digit odd numbers can be formed from 1, 2, 3, 5, 7, 8 if repetition is not allowed?
0.14
0.25
0
Three coins are tossed at the same time. What is the probability that exactly two coins will land with
heads up?
240
There are 6 boys and 4 girls in a club. In how many ways can a committee of 3 boys and 2 girls be
formed?
3/8
A sporting goods store estimates that 20% of the students at a nearby university ski downhill and 15%
ski cross-country. Of those who ski downhill, 40% also ski cross-country. What percentage of these
students ski both downhill and cross-country?
120
If P(A) = 0.4 P(B) = 0.2 and P(A or B) = 0.5, find the sum of P(A and B) and P(A|B).
0.08
Prizes are given for 1st through 3rd place finishes. If 7 teams are competing, how many different ways
may the prizes be presented?
0.6
Let A and B be two independent events for which P(A) = 0.15 and P(B) = 0.3. Find P(A and B).
Two dice are tossed. What is the probability of getting a sum of 5 or 10?
Suppose a bag contains 5 red and 3 blue marbles. Three marbles are selected without replacement.
What is the probability of selecting at least one blue marble?
You drive on a long vacation. The probability you will have a flat tire is 0.1, and that you will have
engine trouble is 0.05. Assuming the two events are independent, find the probability that you will
have only a flat tire or only engine trouble.
210
.045
.19
0.82
AP Statistics
Additional Probability 2
Car
Name:__________________________________
Driver
Student Staff
American
107
105
European
33
12
Asian
55
47
Total
195
164
Total
212
45
102
359
Suppose a driver is selected at random.
1)
2)
3)
4)
5)
6)
7)
what is the probability that the driver is a student?
what is the probability that the driver drives a European car?
what is the probability that the driver drives an American or Asian
car?
what is the probability that the driver is staff or drives an Asian
car?
what is the probability that the driver is staff and drives an Asian
car?
If the driver is a student, what is the probability that they drive an
American car?
If the driver drives a European car, what is the probability that the
driver is a student?