ALGEBRA II
WITH
TRIGONOMETRY: FINAL EXAM REVIEW 2015
UNIT P – PROBABILITY
DUE DATE: ______________
Directions: Complete ALL questions for full credit. Do all work on notebook paper.
P-1: Introduction to Probability



Simple probability
Sample space
Mutually exclusive events
P-2: Conditional Probability



Finding conditional probabilities
Conditional probabilities and 2-way tables
Independent events
P-3: Expected Value


Calculating expected value
Determining a fair game
PROBLEM SET
1.
2.
A die is rolled and a card is drawn from a standard deck of 52 cards. Find each
probability.
a.
P (4 and jack)
b.
P (even number and red)
c.
P (less than 3 and club)
d.
P (greater than 2 and red ace)
A card is being drawn from a standard deck of playing cards. Determine whether
the events are mutually exclusive or not mutually exclusive. Then find the
probability.
a.
P (diamond or numbered card)
b.
P (ace or black king)
c.
P (black or not number card)
d.
P (club or not queen)
MD/PH/CR/RS 6-15
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ALGEBRA II
WITH
TRIGONOMETRY: FINAL EXAM REVIEW 2015
3.
A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability
of selecting a dark chocolate and then a caramel?
4.
Seventy percent of kids who visit a doctor have a fever and 30% of kids with a
fever have sore throats. What’s the probability that a kid who goes to the doctor
has a fever and a sore throat?
5.
Using the two spinners, find each compound probability.
6.
a.
P (A and 2)
b.
P (D and a number greater than 1)
c.
P (B and 3)
d.
P (A and not 2)
The Venn diagram represents the music
preferences of a group of people.
a.
How many total people are represented in
the diagram?
b.
How many people like country?
c.
If one person is chosen at random, what is
the probability that the person will like
rap music? P (rap) =
d.
If one person is chosen at random, what is the probability that the person
will like country or rock music? P (country or rock) =
e.
If one person is chosen at random, what is the probability that the person
will like country and rock music? P (country and rock) =
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ALGEBRA II
7.
8.
9.
WITH
TRIGONOMETRY: FINAL EXAM REVIEW 2015
In a monthly report, the local animal shelter states that it currently has 24 dogs
and 18 cats available for adoption. Eight of the dogs and 6 of the cats are male.
Find each of the following conditional probabilities if an animal is selected at
random:
a.
The pet is male, given that it is a cat.
b.
The pet is a cat, given that it is a female.
c.
The pet is a female, given that it is a dog.
d.
Are the species and sex of the animals independent
A soda company conducted a taste test for three different kinds of soda that it
makes. It surveyed 200 people in each age group about their favorite flavor and
the results are shown in the
table.
a.
What is the probability that a participant chose Soda C or was under 20
years old?
b.
What is the probability that Soda A was chosen?
c.
If Soda A was chosen, what is the probability that the participant was 60
years old or older?
A box contains six blue marbles, three red marbles, and five white marbles. If one
marble is drawn at random, find:
a.
P (red | not blue)
b.
P (not blue | not white)
MD/PH/CR/RS 6-15
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ALGEBRA II
10.
WITH
TRIGONOMETRY: FINAL EXAM REVIEW 2015
A survey of 200 recent high school graduates found that 170 had driver licenses
and 108 had jobs. Twenty-one said that they had neither a driver license nor a job.
a.
Draw a two-way table to represent the situation.
b.
If one of these 200 graduates was randomly selected, what is the
probability that he or she has a job and no license?
c.
If the randomly selected graduate is known to have a job, what is the
probability that he or she has a license?
11.
A hundred tickets are sold for a movie at the cost of $10 each. Some tickets have
cash prizes as a part of a promotional campaign. One prize of $50, three prizes of
$25, and five prizes of $20 are offered. What is the expected value if you buy 1
ticket?
12.
A game consists of rolling a colored die with three red sides, two green sides, and
one blue side. A roll of red loses. A role of green pays $2.00. A roll of blue pays
$5.00. The charge to play the game is $2.00. Would you play the game? Why or
why not?
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