Algebra III/Functions
Name: _______________________
Chapter 11.6 – 11.7 Practice Quiz
Probability of an Event Not Occurring
1.) If you are dealt one card from a 52-card deck, what is the probability that you are not dealt a club?
2.) If you roll a fair die, what is the probability that you don’t roll a number higher than a 4?
Or Probabilities
3.) In a group of 25 baboons, 18 enjoy grooming their neighbors, 16 enjoy screeching wildly, while 10
enjoy grooming their neighbors and screeching wildly. If one baboon is selected at random from the
group, what is the probability that it enjoys grooming its neighbors or screeching wildly?
4.) The mathematics faculty at a college consists of 8 professors, 12 associate professors, 14 assistant
professors, and 10 instructors. If one faculty member is selected at random, what is the probability of
choosing a professor or an instructor?
5.) The mathematics faculty at a college consists of 8 male professors, 11 female professors, 14 male
teaching assistants, and 7 female teaching assistants. If one faculty member is selected at random, what
is the probability of choosing a professor or a male?
Odds
6.) If a single die is rolled, what are the odds of rolling a number less than a 3?
7.) If the odds against you winning a race are 7 to 3, what is the probability that you win the race?
And Probabilities
8.) If you roll a fair die 5 times in a row, what is the probability of not rolling a 3 at all?
9.) A cooler contains 10 bottles of pepsi, 7 diet pepsi, 8 mountain dews, and 4 sprites. If you reach into the
cooler and randomly select three sodas in succession, what is the probability of selecting 2 mountain
dews and a pepsi?
10.) If you are dealt 3 cards from a 52-card deck, what is the probability of getting 3 queens?
Conditional Probability
11.) A letter is randomly selected from the letters of the English alphabet. What is the probability of
selecting a consonant, given that the outcome is a letter that precedes the letter j?
12.) If you roll a fair die, what is the probability of rolling an even number, given that the number you roll is
greater than 3?
13.) One person is randomly selected from a group of 12 freshmen, 8 sophomores, 11 juniors, and 5 seniors.
What is the probability that the person selected is a senior, given that the person selected is not a
freshman?