MAT1500 Week 4 Practice Test
Please use this to prepare for the Week 4 quiz. In this document, you will find:
Practice problems
Solutions
Common errors
Please don’t miss any of these sections. Taking the time now to prepare will help you do your very
best on the quiz. Please be sure to show your work for every problem that requires it. Full credit
cannot be awarded when work is missing.
#1 Mary plans to plant a number of different plants from the seeds that she has collected, as shown
in the table below:
a. If she plants a seed at random, determine the empirical probability that the plant will be a
watermelon plant.
b. If she plants a seed at random, determine the empirical probability that the plant will be a
tomato plant.
Plant Number of seeds
Cantaloupe 15
Watermelon 25
Tomato 10
#2 A standard deck of cards contains 52 cards. If one card is chosen from a standard deck of cards,
a. determine the probability that the card is a jack.
b. determine the probability that the card is a black card.
#3 One soda is chosen from the sodas pictured below.
, a. Determine the probability that the soda chosen is a Sprite.
b. Determine the probability that the soda chosen is a Dr. Pepper.
#4 The table below shows the number of crimes committed in several small cities in 2010.
City Number of crimes committed in 2010
Smithville 258
Ashton 356
Stanton 189
Markstown 523
Golgreen 218
Thomasville 469
Berry 434
Venus 119
Walker 612
Santiago 176
a. If you choose one city at random, determine the probability that the number of crimes will be
less than 250.
What are the odds in favor of choosing a city in which the number of crimes will be less than 250?
Simplify your answers.
b. If you choose one city at random, determine the probability that the number of crimes will be
greater than 500.
What are the odds in favor of choosing a city in which the number of crimes will be greater than
500?
Simplify your answers.
#5 Raffle tickets are being sold for a chance to win a shopping spree at a local mall. There will be
575 tickets sold.
If someone buys 5 tickets, what are the odds against winning the shopping spree? Simplify your
answer.
, #6 You are told that the probability of getting the flu this year is 0.44.
Find the odds in favor of getting the flu this year. Simplify your answer.
#7 Sherry is a marathon runner. Based on her previous performance in running marathons, Sherry
has a 10% chance of making it only to the 6.5 mile mark, a 20% chance of making it only to the
13 mile mark, a 20% chance of making it only to the 19.5 mile mark, and a 50% chance of
finishing the 26 mile race.
Determine Sherry’s expected number of completed miles in her next marathon.
#8 A game player spins the wheel below.
7 0
3 4
6 1
2 5
He is awarded $100 times the number on which he lands. If he lands on the 0, he wins nothing.
If he lands on the 1, he wins $100. If he lands on the 2, he wins $200. And, so on.
Assume that the player has no money before he spins and that the wheel stops on a number at
random.
Determine the player’s expectation when he spins the wheel.
#9 A toy box contains 6 action figures: Wonderwoman, Superman, Hulk, Iron Man, Captain America
and Thor. Two action figures are selected from the toy box without replacement.
How many points are in the sample space?
Determine the probability of choosing Wonder Woman.
Determine the probability of choosing at least one action figure that is not Wonder Woman.
Determine the probability of not choosing Captain America.
#10 Sarah is asked to choose a “1”, a “2”, a “3”, or a “4”. She is asked to do this 2 times.
How many points are in the sample space?
What is the probability that she will choose “2” both times?
What is the probability that she will choose “2” at least 1 time?
Please use this to prepare for the Week 4 quiz. In this document, you will find:
Practice problems
Solutions
Common errors
Please don’t miss any of these sections. Taking the time now to prepare will help you do your very
best on the quiz. Please be sure to show your work for every problem that requires it. Full credit
cannot be awarded when work is missing.
#1 Mary plans to plant a number of different plants from the seeds that she has collected, as shown
in the table below:
a. If she plants a seed at random, determine the empirical probability that the plant will be a
watermelon plant.
b. If she plants a seed at random, determine the empirical probability that the plant will be a
tomato plant.
Plant Number of seeds
Cantaloupe 15
Watermelon 25
Tomato 10
#2 A standard deck of cards contains 52 cards. If one card is chosen from a standard deck of cards,
a. determine the probability that the card is a jack.
b. determine the probability that the card is a black card.
#3 One soda is chosen from the sodas pictured below.
, a. Determine the probability that the soda chosen is a Sprite.
b. Determine the probability that the soda chosen is a Dr. Pepper.
#4 The table below shows the number of crimes committed in several small cities in 2010.
City Number of crimes committed in 2010
Smithville 258
Ashton 356
Stanton 189
Markstown 523
Golgreen 218
Thomasville 469
Berry 434
Venus 119
Walker 612
Santiago 176
a. If you choose one city at random, determine the probability that the number of crimes will be
less than 250.
What are the odds in favor of choosing a city in which the number of crimes will be less than 250?
Simplify your answers.
b. If you choose one city at random, determine the probability that the number of crimes will be
greater than 500.
What are the odds in favor of choosing a city in which the number of crimes will be greater than
500?
Simplify your answers.
#5 Raffle tickets are being sold for a chance to win a shopping spree at a local mall. There will be
575 tickets sold.
If someone buys 5 tickets, what are the odds against winning the shopping spree? Simplify your
answer.
, #6 You are told that the probability of getting the flu this year is 0.44.
Find the odds in favor of getting the flu this year. Simplify your answer.
#7 Sherry is a marathon runner. Based on her previous performance in running marathons, Sherry
has a 10% chance of making it only to the 6.5 mile mark, a 20% chance of making it only to the
13 mile mark, a 20% chance of making it only to the 19.5 mile mark, and a 50% chance of
finishing the 26 mile race.
Determine Sherry’s expected number of completed miles in her next marathon.
#8 A game player spins the wheel below.
7 0
3 4
6 1
2 5
He is awarded $100 times the number on which he lands. If he lands on the 0, he wins nothing.
If he lands on the 1, he wins $100. If he lands on the 2, he wins $200. And, so on.
Assume that the player has no money before he spins and that the wheel stops on a number at
random.
Determine the player’s expectation when he spins the wheel.
#9 A toy box contains 6 action figures: Wonderwoman, Superman, Hulk, Iron Man, Captain America
and Thor. Two action figures are selected from the toy box without replacement.
How many points are in the sample space?
Determine the probability of choosing Wonder Woman.
Determine the probability of choosing at least one action figure that is not Wonder Woman.
Determine the probability of not choosing Captain America.
#10 Sarah is asked to choose a “1”, a “2”, a “3”, or a “4”. She is asked to do this 2 times.
How many points are in the sample space?
What is the probability that she will choose “2” both times?
What is the probability that she will choose “2” at least 1 time?
