College Math Prep B - Final Exam
2024/2025
Which sets are proper subsets of set A?
A={1,3,5,7,9}
Select all that apply. - Precise Answer ✔✔{1, 5, 7}
{9}
{}
Let U be the set of integers from 1 to 15.
U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
Set A and set B are subsets of U. Set A contains multiples of 2, such as 2, 4, 6.... Set B contains multiples
of 3, such as 3, 6, 9....
Use the Venn diagram to help answer the question. - Precise Answer ✔✔{2, 3, 4, 6, 8, 9, 10, 12, 14, 15}
A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza
toppings: pepperoni (P), sausage (S), or mushrooms (M).
• A total of 21 people ordered pepperoni on their pizza, but only 8 ordered just pepperoni.
• A total of 22 people ordered sausage on their pizza, but only 7 ordered just sausage.
• A total of 14 people ordered mushrooms on their pizzas, but only 3 ordered just mushrooms.
• A total of 5 people ordered all three toppings on their pizza.
• Only 1 person ordered a cheese pizza without any toppings.
How many people ordered mushrooms and sausage? - Precise Answer ✔✔9
, After participating in a track meet, athletes were given the option to drink a sports drink or water. The
results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not
to drink anything. Of those that chose water or a sports drink, 27 athletes choose to drink both.
Use the Venn diagram to help answer the question.
How many athletes did not choose water? - Precise Answer ✔✔72
A six-sided die was rolled 500 times, and the results were written down as follows:
What is the theoretical probability and the experimental probability of rolling a 6?
Select the answer that correctly shows both probabilities. - Precise Answer ✔✔The theoretical
probability is 0.167. The experimental probability is 0.136.
At basketball practice, Gabriela practiced making free throws. She shot the ball 45 times and recorded
whether the ball went in the basket.
Based on these results, what is the probability that Gabriela will make the next basket? - Precise Answer
✔✔62%
A standard deck of cards has 52 cards divided into four suits: hearts, clubs, diamonds, and spades.
How would you find the experimental probability of drawing a heart from a standard deck of cards? -
Precise Answer ✔✔Draw a card from the deck, record if it is a heart, then return the card to the deck.
Repeat 40 times. Divide the number of results by 40.
At a community center, 200 members are asked if they own a bike and if they have owned a bike in the
past. The following results are from the survey:
What is the probability that a person owns a bike, given that they have owned a bike in the past? -
Precise Answer ✔✔0.48
Jaime recorded the types of movies that appeared at a local movie theater. He also included their
ratings.
What is the probability that a movie is a comedy, given that it is rated PG-13? - Precise Answer ✔✔0.68
2024/2025
Which sets are proper subsets of set A?
A={1,3,5,7,9}
Select all that apply. - Precise Answer ✔✔{1, 5, 7}
{9}
{}
Let U be the set of integers from 1 to 15.
U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
Set A and set B are subsets of U. Set A contains multiples of 2, such as 2, 4, 6.... Set B contains multiples
of 3, such as 3, 6, 9....
Use the Venn diagram to help answer the question. - Precise Answer ✔✔{2, 3, 4, 6, 8, 9, 10, 12, 14, 15}
A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza
toppings: pepperoni (P), sausage (S), or mushrooms (M).
• A total of 21 people ordered pepperoni on their pizza, but only 8 ordered just pepperoni.
• A total of 22 people ordered sausage on their pizza, but only 7 ordered just sausage.
• A total of 14 people ordered mushrooms on their pizzas, but only 3 ordered just mushrooms.
• A total of 5 people ordered all three toppings on their pizza.
• Only 1 person ordered a cheese pizza without any toppings.
How many people ordered mushrooms and sausage? - Precise Answer ✔✔9
, After participating in a track meet, athletes were given the option to drink a sports drink or water. The
results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not
to drink anything. Of those that chose water or a sports drink, 27 athletes choose to drink both.
Use the Venn diagram to help answer the question.
How many athletes did not choose water? - Precise Answer ✔✔72
A six-sided die was rolled 500 times, and the results were written down as follows:
What is the theoretical probability and the experimental probability of rolling a 6?
Select the answer that correctly shows both probabilities. - Precise Answer ✔✔The theoretical
probability is 0.167. The experimental probability is 0.136.
At basketball practice, Gabriela practiced making free throws. She shot the ball 45 times and recorded
whether the ball went in the basket.
Based on these results, what is the probability that Gabriela will make the next basket? - Precise Answer
✔✔62%
A standard deck of cards has 52 cards divided into four suits: hearts, clubs, diamonds, and spades.
How would you find the experimental probability of drawing a heart from a standard deck of cards? -
Precise Answer ✔✔Draw a card from the deck, record if it is a heart, then return the card to the deck.
Repeat 40 times. Divide the number of results by 40.
At a community center, 200 members are asked if they own a bike and if they have owned a bike in the
past. The following results are from the survey:
What is the probability that a person owns a bike, given that they have owned a bike in the past? -
Precise Answer ✔✔0.48
Jaime recorded the types of movies that appeared at a local movie theater. He also included their
ratings.
What is the probability that a movie is a comedy, given that it is rated PG-13? - Precise Answer ✔✔0.68
