unit 2: Compound Events and the Fundamental Counting Principle
Camila flips a fair coin two times and then spins a four-section spinner. mc006-1.jpgmc006-2.jpg mc006-3.jpg How many possible outcomes exist?
16
How many possible outcomes exist when four fair coins are flipped
16
A code is made up of 1 letter, out of a possible 26, in the first position. One digit, 0-9, occupies each of the second and third positions. The digit cannot be repeated. How many possible outcomes exist?
2,340
The bar graph shows the number of school days Jalen had homework and did not have homework during the first six months of school. During how many months was the difference between the number of days with homework and with no homework greater than 6?
3
The distance in miles a car travels over time in minutes is shown in the table. Distance (miles) Time (minutes) 10 15 20 30 30 45 40 60 Kwame is not sure whether to use a line graph or a line plot to display the data. Which best explains which graph is a better representation of the data?
The line graph because it shows how the number of miles increases over the number of minutes.
Clarice graphed the amount of money in her savings account during the past six months on the line graph. mc007-1.jpg Between which two months did the greatest change in the amount of money in the account occur?
months 4 and 5
A bank requires a four-digit access code for each account. The access code is generated using the digits 0-9, and the digits can be repeated. What is the probability of an access code "1234"?
1/10,000
The spinners shown below are each spun one time. mc013-1.jpgmc013-2.jpg What is the probability that both spinners will land on 2?
1/12
A three-section spinner, shown below, is spun twice. The tree diagram shows the possible outcomes for the two spins. mc003-1.jpg mc003-2.jpg What is the probability of spinning the same number in both spins?
1/3
Cameron flips two coins and then spins the spinner below. mc021-1.jpg What is the probability of having two different outcomes on the coins and spinning an odd number?
1/4
A bag contains 15 marbles. The probability of randomly selecting a green marble is mc018-1.jpg. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is mc018-2.jpg. What is the probability of randomly selecting a red marble?
1/5
A coin is tossed, and a four-section spinner is spun once. The tree diagram shows the possible outcomes for the two events. mc004-1.jpg What is the probability of flipping tails on the coin and spinning a 2 on the spinner?
1/8
The stem and leaf plot shows the shoe sizes of 22 students in Mr. Millford's first period class. mc009-1.jpg mc009-2.jpg The mean shoe size is 8.5. How many students had a shoe size greater than the mean shoe size?
10
A numerical pass code is required to open a car door. The pass code is five digits long and uses the digits 0-9. Numbers may be repeated in the pass code. How many different pass codes exist?
100,000
How many different possible outcomes are there when Jillana spins the spinner below and then flips the coin?
12
How many different possible outcomes exist when each spinner shown below is spun one time?
12
How many possible outcomes exist when Louisa spins the spinner below twice?
64
Each face of a six-sided cube is painted a different color. The cube is rolled twice and a coin is flipped. How many different possible outcomes exist?
72
Gerald asked the students in his class how many pets they have. The results of the survey are: 0, 1, 3, 0, 2, 3, 5, 1, 0, 0, 2, 1. Which type of graph would best display the data?
line plot
Mrs. Carden recorded how many minutes it took each student to finish the last quiz of the year. The results are: 12, 16, 18, 16, 14, 12, 15, 11, 18, 18, 11, 12, 16, 13, 13, 12. Which type of graph would best display the data?
line plot
A fair coin is tossed, and a marble is chosen from the bag whose contents are shown below. mc011-1.jpg What is the probability of the coin landing heads up and a blue (B) marble being randomly selected
3/20
A six-sided number cube is labeled with the numbers 1-6, one number on each face. Each number is used exactly once. How many possible outcomes exist when the cube is rolled two times?
36
Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. The spinner is spun two times. The number of possible outcomes is 16. How many sections is the spinner divided into?
4
A grocery store surveys its customers to determine which day they prefer to shop for food. The bar graph shows the results of the survey.
55%
A bag contains 15 marbles. The probability of randomly selecting a green marble is mc019-1.jpg. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is mc019-2.jpg. How many blue marbles are in the bag?
6
Three marbles, one red (R), one yellow (Y), and one blue (B), are placed in a bag. A fair coin is flipped, and then a marble is drawn out of the bag at random. A tree diagram of the events is shown below.
6
Three marbles, one red (R), one yellow (Y), and one blue (B), are placed in a bag. A fair coin is flipped, and then a marble is drawn out of the bag at random. A tree diagram of the events is shown below. mc005-1.jpg How many possible outcomes exist?
6
There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents the probability of randomly selecting a blue marble, replacing it, and then randomly selecting a red marble?
C. 4/10+r(r/10+r)
Evelyn has a bag containing red (R), blue (B), and green (G) marbles as shown below. mc009-1.jpg If each marble is replaced after it is drawn, what is the probability of randomly drawing three consecutive red (R) marbles?
D. 27/512
Students in Mr. Hill's class were asked how many TV shows they watched last weekend. The results are shown on the line plot. mc005-1.jpg Which statement about the number of TV shows watched is accurate?
Half of the students watched fewer than two shows or more than five shows.
Hannah spins a spinner once and then randomly selects a marble from a bag. A representation of the spinner and the bag of marbles is shown below. mc020-1.jpg mc020-2.jpg She determines that the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble is mc020-3.jpg. Which best describes the accuracy of Hannah's answer?
Hannah's answer is accurate.
Latricia determines that the probability of spinning an even number and then a 3 on the spinner below is 3/4? Which best describes the accuracy of Latricia's solution?
Latricia's solution is inaccurate. Her solution describes the probability of spinning an even number or a 3 in the same spin.
Jaime wants to display her math test scores by using either a line plot or a stem and leaf plot. Her test scores are: 93, 95, 87, 90, 84, 81, 97, 98. Which best explains what type of graph will better display the data?
a stem and leaf plot because the data can be grouped into sets of 10
Ja'ron collected data about the number of students participating in different types of after-school programs. The chart displays his findings. Program Students Participating sports 23 art 25 academic 21 religious 18 family 32 Which type of graph would best display the data?
bar graph
Kelsey is trying to determine the change in the number of cars sold per month at a local car dealership. Which type of graph would best display the change over time?
line graph
Aubrey recorded the low temperature in her home town each day for two weeks. Her results, in degrees Fahrenheit, are: 41, 46, 43, 53, 55, 44, 51, 39, 42, 38, 50, 52, 47, 45. Which type of graph would best display whether there were more low temperatures in the 30's, 40's, or 50's?
steam and leaf plot
Mikhail recorded the heights of all the male students in his math class. The results, in inches, are: 52, 55, 56, 60, 53, 51, 64, 67, 61, 58. Which type of graph would best display the heights in the 50 to 59 and the 60 to 69 inch range for comparison?
stem and leaf plot