Mod Mark Gerhard
New member
15-20 MINS!!!? Multiple Choice
Use the following information for questions 1–2.
A game involves spinning this spinner.
1. What is the probability of the pointer landing on G? (2 points)
2. Predict how many times the spinner will stop on R in 66 spins. (2 points)
38 times
35 times
33 times
32 times
3. A number cube is rolled 360 times and the results are recorded as follows: 60 ones, 58 twos, 70 threes, 74 fours, 38 fives, and 60 sixes. What is the experimental probability of rolling a two or a three? (2 points)
0.11
0.36
0.14
0.64
4. From a barrel of colored marbles, you randomly select 1 blue, 6 yellow, 7 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. (2 points)
5. The probability of winning a game is 40%. How many times should you expect to win if you play 40 times? (2 points)
18 times
21 times
16 times
13 times
Use the following information for questions 6–7.
A standard number cube is rolled 216 times.
6. Predict how many times a 5 will be the result. (2 points)
32 times
38 times
36 times
39 times
7. Predict how many times a 3 or a 5 will be the result. (2 points)
36 times
69 times
72 times
37 times
8. In a random sample of 250 customers at a fast food restaurant, 84 customers ordered a salad. If the restaurant typically has 1,000 customers in a day, how many customers will probably order a salad? (2 points)
386 customers
436 customers
336 customers
261 customers
9. A survey showed that 56% of car owners prefer four-doors cars, 31% prefer two-door cars, and 13% have no preference. You ask 550 people. How many do you think will prefer four-door cars? (2 points)
358 people
208 people
308 people
373 people
10. Gina has made 40% of her goal kicks in soccer. How could you simulate her next 14 goal kicks? (2 points)
Flip 1 coin.
Spin a spinner with 10 equal sections having 4 sections shaded.
Flip 2 coins.
Roll a number cube with 9 sides.
11. The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a vowel both times, if the spinner is spun twice.
(2 points)
12. A yogurt shop offers 6 different flavors of frozen yogurt and 9 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping? (2 points)
54 choices
52 choices
15 choices
57 choices
13. Jamestown Builders has a development of new homes. There are 5 different floor plans, 11 exterior colors, and an option of either a one-car or a two-car garage. How many choices are there for one home? (2 points)
18 choices
165 choices
110 choices
55 choices
14. If no digit appears more than once, how many 5-digit numbers can be formed from the digits 2, 3, 4, 6, and 7? (2 points)
120 numbers
24 numbers
126 numbers
115 numbers
15. Which events are independent? (2 points)
You draw 2 colored cards at the same time and get one red and one green.
You study English 20 minutes nightly, and then you get an A on the next test.
You toss two coins and get one head, one tail.
You choose two ice cream flavors.
Short Answer
Note: your teacher will grade your responses to 16–25 to ensure you receive proper credit for your answers.
When submitting an answer in the form of a fraction, use a forward slash (/) to separate the numerator and denominator. For example, one-half would be written as 1/2.
Use the following information for questions 16–17.
Find the probability of the event. Write the answer as a fraction in simplest form, a decimal rounded to the nearest hundredth if necessary, and a percent rounded to the nearest percent. Classify the event as impossible, less likely, more likely, or certain.
16. You roll a standard number cube and get a multiple of 4. (4 points)
17. Find the probability of picking a red card. Indicate whether the event is impossible, less likely, more likely, or certain.
(4 points)
18. A number cube is labeled 1 through 6.
What is the probability of rolling a 3? Write your answer as a fraction in simplest form.
(4 points)
19. A number cube is rolled 450 times. The number 3 comes up 69 times.
What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form. (4 points)
20.
Use the spinner to find the probability. What is the probability of getting a 5 on a single spin? (4 points)
21. A national survey of 50,000 sixth graders asked if they know what they would like to do when they get older. The results are shown in the table. Suppose you ask 550 sixth graders if they know what career they want to pursue. Predict how many would say yes and how many would say no. Will your prediction always hold true? Explain.
(4 points)
22. The owners of an amusement park have hired you to find out if visitors will return to their park. You find that 45,000 peop
people visit the park during a given week. When you ask 1,000 people at random whether or not they will return, 750 say yes, 150 say no, and 100 say they are unsure.
a. Organize the results of your survey into a chart. Note: create a chart on a separate piece of paper.
b. Summarize your findings and explain to the owners how you are able to predict the total number of visitors that plan to return to the park. (4 points)
Use the following information for questions 23–24.
At a pizza parlor you can have a choice of toppings and sizes as shown in the tree diagram.
23. How many possibilities are there for having pepper as a topping on your pizza? (4 points)
24. If you select a size and a topping at random, what is the probability you will select a pizza with pepper topping? (4 points)
25. The Medeiros family want to display the school pictures of their 6 children on the wall of their living room. They want to hang the pictures horizontally in a row.
Explain how to determine the number of possible arrangements. (4 points)
26. Explain what it means for two events to be independent. (4 points)
Use the following information for questions 27–28.
The probability of randomly selecting a red marble from a bag, replacing it, and selecting a red marble again is .
27. What is the probability of selecting a red marble on the first try? Explain. (4 points)
28. Suppose you know there are originally 2 red marbles in the bag. How many marbles are there in all? Show your work. (4 points)
Use the following information for questions 1–2.
A game involves spinning this spinner.
1. What is the probability of the pointer landing on G? (2 points)
2. Predict how many times the spinner will stop on R in 66 spins. (2 points)
38 times
35 times
33 times
32 times
3. A number cube is rolled 360 times and the results are recorded as follows: 60 ones, 58 twos, 70 threes, 74 fours, 38 fives, and 60 sixes. What is the experimental probability of rolling a two or a three? (2 points)
0.11
0.36
0.14
0.64
4. From a barrel of colored marbles, you randomly select 1 blue, 6 yellow, 7 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. (2 points)
5. The probability of winning a game is 40%. How many times should you expect to win if you play 40 times? (2 points)
18 times
21 times
16 times
13 times
Use the following information for questions 6–7.
A standard number cube is rolled 216 times.
6. Predict how many times a 5 will be the result. (2 points)
32 times
38 times
36 times
39 times
7. Predict how many times a 3 or a 5 will be the result. (2 points)
36 times
69 times
72 times
37 times
8. In a random sample of 250 customers at a fast food restaurant, 84 customers ordered a salad. If the restaurant typically has 1,000 customers in a day, how many customers will probably order a salad? (2 points)
386 customers
436 customers
336 customers
261 customers
9. A survey showed that 56% of car owners prefer four-doors cars, 31% prefer two-door cars, and 13% have no preference. You ask 550 people. How many do you think will prefer four-door cars? (2 points)
358 people
208 people
308 people
373 people
10. Gina has made 40% of her goal kicks in soccer. How could you simulate her next 14 goal kicks? (2 points)
Flip 1 coin.
Spin a spinner with 10 equal sections having 4 sections shaded.
Flip 2 coins.
Roll a number cube with 9 sides.
11. The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a vowel both times, if the spinner is spun twice.
(2 points)
12. A yogurt shop offers 6 different flavors of frozen yogurt and 9 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping? (2 points)
54 choices
52 choices
15 choices
57 choices
13. Jamestown Builders has a development of new homes. There are 5 different floor plans, 11 exterior colors, and an option of either a one-car or a two-car garage. How many choices are there for one home? (2 points)
18 choices
165 choices
110 choices
55 choices
14. If no digit appears more than once, how many 5-digit numbers can be formed from the digits 2, 3, 4, 6, and 7? (2 points)
120 numbers
24 numbers
126 numbers
115 numbers
15. Which events are independent? (2 points)
You draw 2 colored cards at the same time and get one red and one green.
You study English 20 minutes nightly, and then you get an A on the next test.
You toss two coins and get one head, one tail.
You choose two ice cream flavors.
Short Answer
Note: your teacher will grade your responses to 16–25 to ensure you receive proper credit for your answers.
When submitting an answer in the form of a fraction, use a forward slash (/) to separate the numerator and denominator. For example, one-half would be written as 1/2.
Use the following information for questions 16–17.
Find the probability of the event. Write the answer as a fraction in simplest form, a decimal rounded to the nearest hundredth if necessary, and a percent rounded to the nearest percent. Classify the event as impossible, less likely, more likely, or certain.
16. You roll a standard number cube and get a multiple of 4. (4 points)
17. Find the probability of picking a red card. Indicate whether the event is impossible, less likely, more likely, or certain.
(4 points)
18. A number cube is labeled 1 through 6.
What is the probability of rolling a 3? Write your answer as a fraction in simplest form.
(4 points)
19. A number cube is rolled 450 times. The number 3 comes up 69 times.
What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form. (4 points)
20.
Use the spinner to find the probability. What is the probability of getting a 5 on a single spin? (4 points)
21. A national survey of 50,000 sixth graders asked if they know what they would like to do when they get older. The results are shown in the table. Suppose you ask 550 sixth graders if they know what career they want to pursue. Predict how many would say yes and how many would say no. Will your prediction always hold true? Explain.
(4 points)
22. The owners of an amusement park have hired you to find out if visitors will return to their park. You find that 45,000 peop
people visit the park during a given week. When you ask 1,000 people at random whether or not they will return, 750 say yes, 150 say no, and 100 say they are unsure.
a. Organize the results of your survey into a chart. Note: create a chart on a separate piece of paper.
b. Summarize your findings and explain to the owners how you are able to predict the total number of visitors that plan to return to the park. (4 points)
Use the following information for questions 23–24.
At a pizza parlor you can have a choice of toppings and sizes as shown in the tree diagram.
23. How many possibilities are there for having pepper as a topping on your pizza? (4 points)
24. If you select a size and a topping at random, what is the probability you will select a pizza with pepper topping? (4 points)
25. The Medeiros family want to display the school pictures of their 6 children on the wall of their living room. They want to hang the pictures horizontally in a row.
Explain how to determine the number of possible arrangements. (4 points)
26. Explain what it means for two events to be independent. (4 points)
Use the following information for questions 27–28.
The probability of randomly selecting a red marble from a bag, replacing it, and selecting a red marble again is .
27. What is the probability of selecting a red marble on the first try? Explain. (4 points)
28. Suppose you know there are originally 2 red marbles in the bag. How many marbles are there in all? Show your work. (4 points)