Using Randomness

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times
• rolling a six-sided number cube 20 times
• spinning a spinner with 4 equal sized sections 4 times
• choosing 1 marble in a bag of 20 different colored marbles

Tags

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?

• spin a spinner with four sections 25 times
• roll a die 25 times
• flip a coin 25 times
• roll a die 4 times

Tags

CCSS.7.SP.C.7

CCSS.7.SP.C.8

CCSS.7.SP.C.5

A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective?

• spin a spinner with 4 equal sections
• roll a die twice
• flip a coin twice
• flip a coin, then roll a die

Tags

CCSS.7.SP.C.7

CCSS.7.SP.C.8

CCSS.7.SP.C.5

An ice cream parlor offers 15 different flavors of ice cream. Which model could be used to show how many different choices there are?

• spin a spinner with 5 sections
• flip a coin
• spin a spinner with 15 sections
• roll a die and flip a coin

Tags

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A cereal company is placing one of 6 different tickets into its boxes of cereal. If each ticket is equally likely to appear in a box of cereal, which model could be used to simulate the tickets you would find in 50 boxes of cereal?

• a coin that is flipped 50 times
• a spinner that has 4 sections that is spun 50 times
• a number cube that is rolled 50 times
• a coin is flipped and a number cube is rolled 50 times 

Tags

CCSS.7.SP.C.7

CCSS.7.SP.C.8

CCSS.7.SP.C.5

CCSS.7.SP.A.2

CCSS.7.SP.C.6

A basketball player makes 80% of his free throws. The random numbers represent 20 trials for a simulation. Let the numbers 0 to 7 represent a made free throw and let 8 to 9 represent a missed free throw. Use the simulation to calculate the experimental probability that the player will make both free throws.

• 65%

• 55%

• 70%

• 85%

• 95%

Tags

CCSS.7.SP.C.8C

In a town, 50% of registered voters vote regularly. The random numbers represent 10 trials for a simulation. Which of the following assigned numbers, for people who do vote and don't vote, can be used for the simulation model?

• Do Vote: 0 to 4; Don't Vote: 5 to 9

• Do Vote: 0 to 5; Don't Vote: 6 to 9

• Do Vote: 0 to 9

• Do Vote: 0 to 3; Don't Vote: 4 to 9

Tags

CCSS.7.SP.C.8C

At a startup company there is a 30% chance an item is defective. The random numbers represent 10 trials for a simulation. Which of the following assigned numbers, for defective and not defective items, can be used for the simulation model?

• Defective: 0 to 4; Not Defective: 5 to 9

• Defective: 0 to 2; Not Defective: 3 to 9

• Defective: 0 to 3; Not Defective: 4 to 9

• Defective: 0 to 2; Not Defective: 3 to 10

Tags

CCSS.7.SP.C.8C

A way to model random events, so that outcomes closely match real-world outcomes is called a(n) ________________.

Tags

CCSS.7.SP.C.8C

A basketball player has a 70% free throw percentage. Which plan could be used to simulate the number of free throws she will make in her next five free throw attempts?

I. Let 0,1 represent making the first shot, 2,3 represent making the second shot,...8,9 represent making the fifth shot. Generate 5 random numbers 0-9, ignoring repeats.

II. Let 0, 1, 2 represent missing a shot and 3, 4, ..., 9 represent making a shot. Generate 5 random numbers between 0 -9 and count how many numbers are in 3-9.

III. Let 0, 1, 2 represent missing a shot and 3, 4, ..., 9 represent making a shot. Generate 5 random numbers 0 - 9 and count how many numbers are in 3-9, ignoring repeats.

• I only

• II only

• III only

• II and III

• All would work

Tags

CCSS.7.SP.C.8C