1. Topic Test 1 Review

2. You spin the numbered spinner shown below
You spin the numbered spinner shown below. Event A is landing on a prime number. Event B is landing on an odd number. What is the intersection of A and B? #2

3. Using the Venn diagram below, what is the complement of set B? {6,8}
{3,4,9}
{1,2,5,7}
{3,4,6,8,9} #3

4. Two fair coins are flipped and a fair number cube is rolled.
How many elements are in the sample space?
What is the sample space of possible outcomes?
Find the subset of the sample space that represents the results of the coin flips being different and rolling a number that is not prime. #2

5. What is the probability that a student takes French and Spanish?
Sunny Beach High School has 162 students enrolled in French, 294 students enrolled in Spanish, and 78 students taking both languages. The remaining 132 students do not take a language. Find each of the probabilities below and use appropriate notation to summarize the event.
What is the probability that a student takes French or Spanish or both?
What is the probability that a student takes French and Spanish?
What is the probability that a student does not take French?
How would you describe the students you would include if you were considering the complement of 𝑃(𝐹𝑟𝑒𝑛𝑐ℎ ∩𝑆𝑝𝑎𝑛𝑖𝑠ℎ)? What is the probability of this occurring?
#1, 2, 3

6. 𝑃(kayak) b. 𝑃(doesn′t participate in other sport)
250 people visiting Key Biscayne were asked if they were there to rent a kayak or for windsurfing lessons. The results of the survey are shown in the two-way table below.
If a person visiting Key Biscayne is selected at random, determine the probability of the events below.
𝑃(kayak) b. 𝑃(doesn′t participate in other sport)
𝑃(windsurfing ∪kayaking)
Change “other” in (b) to “either”

8. A grab bag contains 8 football cards and 2 basketball cards
A grab bag contains 8 football cards and 2 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. Determine whether the events are independent or dependent. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.
Independent; 0.18
Dependent; 0.04
Dependent; 0.64
Independent; #2

9. An online bookstore sells both print books and e-books (books in electronic format). Customers can pay with either a gift card or a credit card.
Suppose that the probability of the event “print book is purchased” is 0.6 and that the probability of the event “customer pays using gift card” is 0.2. If these two events are independent, what is the probability that a randomly selected book purchase is a print book paid for using a gift card?
Suppose that the probability of the event “e-book is purchased” is 0.4; the probability of the event “customer pays using gift card” is 0.2; and the probability of the event “e-book is purchased and customer pays using a gift card” is 0.1. Are the two events “e-book is purchased” and “customer pays using a gift card” independent? Explain why or why not.

12. #8

13. The table below shows the number of days that a meteorologist predicted it would be sunny, and the number of days it was sunny. Based on the data in the table, what is the conditional probability that it will be sunny on a day when the meteorologist predicts it will be sunny?

14. The table shows the distribution of the labor force in the United States in the year Suppose that a worker is selected at random. Find the probability that a female works in the industry field. Express your answer as a decimal, and round to the nearest thousandth. #2

15. In a bag of 60 candies, 36 are green and 45 have caramel in them
In a bag of 60 candies, 36 are green and 45 have caramel in them. If the events of picking a green candy and picking a candy with caramel are independent, what percent of the green candies have caramel in them?
25%
60%
75%
100%

16. The average height of the 140 million US males is 5 ft and 10 in
The average height of the 140 million US males is 5 ft and 10 in. Some males from the US become professional basketball players. The average height of the professional basketball players in the NBA is about 6 ft and 7 in. Which of the following probabilities should be larger? Or would they be similar?
The probability that a US male over 6 ft tall is a professional basketball player
The probability that a professional basketball player is over 6 ft tall #2

17. #2

18. Elena asks the students in one of her classes if they have a cat or a dog. Her results are recorded in the table below. What is the probability that a randomly selected student who has a cat will also have a dog?

19. 200 people took part in a study involving a new headache medicine
200 people took part in a study involving a new headache medicine. After one week, the subjects were asked if they had a headache in the past week. According to the data in the two-way table, what fraction of the people who were given the placebo did not have a headache?

20. It is impossible, because the probability is 0
A dodecahedral solid has 12 sides numbered 1 through 12, all equally likely to appear when you roll it. What is the likelihood that you roll an even number or a prime number?
It is impossible, because the probability is 0
It is unlikely, because the probability is less than 0.5
It is as likely as not, because the probability is about 0.5
It is likely, because the probability is greater than 0.5 #1

21. 16 cards numbered 1 through 16 are placed face down and Stephanie chooses one at random. What is the probability that the number on Stephanie’s card is less than 5 or greater than 10? Explain. #1

22. On school days, Janelle sometimes eats breakfast and sometimes does not. After studying probability for a few days, Janelle says, “The events ‘I eat breakfast’ and ‘I am late for school’ are independent. Explain what this means in terms of the relationship between Janelle eating breakfast and her probability of being late for school in language that someone who hasn’t studied probability would understand.

23. There were 9000 flights, from two airlines, that went out of Miami airport during November The total number of flights on time was 8000, of which 4500 are from Airline A. The total number of flights from Airline A that were late was 500. If a flight is randomly selected, what is the probability that a flight will arrive on time or is from Airline A?
This problem was missing information about the flights that were Late from Airline A so I added a number.

24. What is the probability that there will be rain or lightning today?
A weather forecaster makes the following statement: “Today there is a 55% chance of rain, a 20% chance of lightning, and a 11% chance of both rain and lightning.”
Based on this statement, are the events “rain today” and “lightning today” independent events?
What is the probability that there will be rain or lightning today? #1