UNIT 3 - MILESTONE 3 (FINAL) Exam
Questions and Correct Solutions
Tracie spins the four-colored spinner shown below. She records the total number of times the spinner
lands on the color red and constructs a graph to visualize her results.
Which of the following statements is TRUE? - Correct Answers: If Tracie spins the spinner 1,000 times, it
would land on red close to 250 times.
Kate was trying to decide which type of frozen pizza to restock based on popularity: pepperoni pizza or
sausage pizza. After studying the data, she noticed that pepperoni flavors sold best on the weekdays and
on the weekends, but not best overall.
Which paradox has Kate encountered? - Correct Answers: Simpson's Paradox
Using the Venn Diagram below, what is the conditional probability of event B occurring, assuming event
A has happened [P(B|A)]? - Correct Answers: 0.63
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of
drawing a face card or an Ace.
Choose the correct probability of drawing a face card or an Ace. Answer choices are in the form of a
percentage, rounded to the nearest whole number. - Correct Answers: 31%
Which of the following situations describes a continuous distribution? - Correct Answers: A probability
distribution showing the weights of newborns
Patricia was having fun playing poker. She needed the next two cards dealt to be spades so she could
make a flush (five cards of the same suit). There are 12 cards left in the deck, and three are spades.
What is the probability that the two cards dealt to Patricia (without replacement) will both be spades?
Answer choices are in percentage format, rounded to the nearest whole number. - Correct Answers: 5%
, Asmita went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck
of 52 cards.
Asmita has had good luck at blackjack in the past, and she actually got three blackjacks with Aces in a
row the last time she played. Because of this lucky run, Asmita thinks that Ace is the luckiest card.
The dealer deals the first card to her. In a split second, she can see that it is a non-face card, but she is
unsure if it is an Ace.
What is the probability of the card being an Ace, given that it is a non-face card? Answer choices are in a
percentage format, rounded to the nearest whole number. - Correct Answers: 10%
What is the probability of drawing a spade or a jack from a standard deck of 52 cards? - Correct
Answers: 4/13
Dan is playing a game where he selects a card from a deck of four cards, labeled 1, 2, 3, or 4. The
possible cards and probabilities are shown in the probability distribution below.
What is the expected value for the card that Dan selects? - Correct Answers: 2.5
A basketball player makes 60% of his free throws. We set him on the free throw line and asked him to
shoot free throws until he misses. Let the random variable X be the number of free throws taken by the
player until he misses.
Assuming that his shots are independent, find the probability that he will miss the shot on his 6th throw.
- Correct Answers: 0.03110
Mark noticed that the probability that a certain player hits a home run in a single game is 0.165. Mark is
interested in the variability of the number of home runs if this player plays 150 games.
Questions and Correct Solutions
Tracie spins the four-colored spinner shown below. She records the total number of times the spinner
lands on the color red and constructs a graph to visualize her results.
Which of the following statements is TRUE? - Correct Answers: If Tracie spins the spinner 1,000 times, it
would land on red close to 250 times.
Kate was trying to decide which type of frozen pizza to restock based on popularity: pepperoni pizza or
sausage pizza. After studying the data, she noticed that pepperoni flavors sold best on the weekdays and
on the weekends, but not best overall.
Which paradox has Kate encountered? - Correct Answers: Simpson's Paradox
Using the Venn Diagram below, what is the conditional probability of event B occurring, assuming event
A has happened [P(B|A)]? - Correct Answers: 0.63
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of
drawing a face card or an Ace.
Choose the correct probability of drawing a face card or an Ace. Answer choices are in the form of a
percentage, rounded to the nearest whole number. - Correct Answers: 31%
Which of the following situations describes a continuous distribution? - Correct Answers: A probability
distribution showing the weights of newborns
Patricia was having fun playing poker. She needed the next two cards dealt to be spades so she could
make a flush (five cards of the same suit). There are 12 cards left in the deck, and three are spades.
What is the probability that the two cards dealt to Patricia (without replacement) will both be spades?
Answer choices are in percentage format, rounded to the nearest whole number. - Correct Answers: 5%
, Asmita went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck
of 52 cards.
Asmita has had good luck at blackjack in the past, and she actually got three blackjacks with Aces in a
row the last time she played. Because of this lucky run, Asmita thinks that Ace is the luckiest card.
The dealer deals the first card to her. In a split second, she can see that it is a non-face card, but she is
unsure if it is an Ace.
What is the probability of the card being an Ace, given that it is a non-face card? Answer choices are in a
percentage format, rounded to the nearest whole number. - Correct Answers: 10%
What is the probability of drawing a spade or a jack from a standard deck of 52 cards? - Correct
Answers: 4/13
Dan is playing a game where he selects a card from a deck of four cards, labeled 1, 2, 3, or 4. The
possible cards and probabilities are shown in the probability distribution below.
What is the expected value for the card that Dan selects? - Correct Answers: 2.5
A basketball player makes 60% of his free throws. We set him on the free throw line and asked him to
shoot free throws until he misses. Let the random variable X be the number of free throws taken by the
player until he misses.
Assuming that his shots are independent, find the probability that he will miss the shot on his 6th throw.
- Correct Answers: 0.03110
Mark noticed that the probability that a certain player hits a home run in a single game is 0.165. Mark is
interested in the variability of the number of home runs if this player plays 150 games.
