MATH 111-112
PROBABILITY UNIT PRE-TEST/REVIEW
MULTIPLE CHOICE – Choose the best answer.
1. A bag contains 5 green marbles, 4 red marbles and 3 yellow marbles. If 2 marbles are
taken from the bag at random, without replacement, what is the probability of selecting
one red marble and then one green one?
(a)
5
33
(b)
20
144
(c)
5
9
(d)
9
24
2. A red die and a blue die are tossed. What is the probability that the red die shows a
three and the blue die shows a number greater than three?
(a)
1
36
(b)
1
18
(c)
1
12
(d)
2
3
3. A survey of 200 students determined that 65 played soccer, 42 played baseball and 26
played both soccer and baseball. How many played neither soccer nor baseball?
(a) 67
(b) 93
(c) 119
(d) 135
4. At a chain of fast food restaurants, 6 of the 10 different available entrees each have
more than 20g of fat. If three different entrees are selected at random, approximately
what is the probability that the first three selected will each have more than 20g of fat?
(a) 0.180
(b) 0.167
(c) 0.216
(d) 0.300
OPEN RESPONSE – Show all work.
1. There are 500 students present at a soccer game between Fredericton and Oromocto.
175 fans are from Fredericton. 225 fans are cheering for Oromocto. 25 fans from
Fredericton are cheering for Oromocto. Construct a venn diagram showing this
information and find the probability of selecting a students who is not from Fredericton
nor cheering for Oromocto.
2. The student council forms a sub-committee of 5 council members to look at how funds
raised should be spent. If there are a total of 15 student council members, 6 males and 9
females, then what is the probability that the subcommittee will consist of exactly 4
females and 1 male?
3. Assuming it is equally likely that a couple will have a boy or a girl, if a family has 4
children, what is the probability that a family will have 4 boys?
4. A line up of seven suspects includes four criminals with outstanding warrants. If the
police randomly checks for arrest records on four of the suspects, what is the probability
of discovering the four wanted criminals?
5. A bankcard PIN consists of any four digits. Repeat digits are allowed and the code
can start with a zero. What are the odds that a code begins with a six and ends with a 6?
6. A box contains 2 white balls, 3 red balls, 4 brown balls and 1 yellow ball. A ball is
chosen at random from the box, it is replaced, and another ball is chosen. Find the
probabilities of the following events.
(a) The first ball is brown and the second is white.
(b) One ball is red and the other white.
(c) Both balls are brown.
7. Repeat question 6 but assume that the ball is not replaced.
8. A committee of three has to be chosen from a class consisting of 8 girls and 7 boys.
What is the probability that the committee will consist of 2 girls and 1 boy?
9. Marie has not studied for her math test. She knows none of the answers to the seven
question true-and-false portion of the test. She decides to guess at all seven questions.
Describe a simulation that will determine the probability of Marie guessing the correct
answers to four or more of the seven questions.
10. Tony and Todd are participating in the annual Ride for Sight charity. They have
decided to arrive at the start between 9:00 am and 9:25 am. They have decided to wait no
more than five minutes for one another. Use an area model to determine their probability
of meeting