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Probability Study Guide

Total questions: 16

Worksheet time: 8mins

Name
Class
Date
1.

A letter is randomly selected from the letters in the word CHALLENGE. What is the sample space?

a)

C, H, A, L, E, N, G

b)

C, H, A, L, L, E, N, G, E

c)

C, H, A, E, G

d)

C, H, A, L, L, E, E

2.

A letter is randomly selected from the letters in the word CHALLENGE. How many outcomes are there?

a)

9

b)

6

c)

7

d)

8

3.

A fruit is selected at random from a basket containing 6 bananas, 2 papayas, and 7 mangoes. What is the probability of selecting a banana?

a)

6/9 or 2/3

b)

6/2 or 3/1

c)

6/15 or 2/5

d)

6/7

4.

Twenty-five tiles are assigned a letter and points as shown in the diagram. One tile is randomly selected. What is the probability of selecting a vowel?

a)

2/15

b)

3/20

c)

6/25

d)

5/25 or 1/5

5.

Twenty-five tiles are assigned a letter and points as shown in the diagram. One tile is randomly selected. What is the probability of selecting a letter worth 3 points?

a)

5/15 or 1/3

b)

4/20

c)

3/25

d)

4/25

6.

Maria has a bag with three red cubes, one white cube and four blue cubes. All cubes are equal in size. What is an event that is impossible to happen?

a)

pulling a green cube out of the bag

b)

pulling a red cube out of the bag

c)

pulling a white cube out of the bag

d)

pulling a blue cube out of the bag

7.

Maria has a bag with three red cubes, one white cube and four blue cubes. All cubes are equal in size. What are the events that are unlikely to happen? SELECT ALL THAT APPLY

a)

pulling a green cube out of the bag

b)

pulling a red cube out of the bag

c)

pulling a white cube out of the bag

d)

pulling a blue cube out of the bag

8.

Maria has a bag with three red cubes, one white cube and four blue cubes. All cubes are equal in size. What is an event that is likely but not certain to happen on the next pull?

a)

pulling a green cube out of the bag

b)

pulling a red cube or blue cube out of the bag

c)

pulling a white or red cube out of the bag

d)

pulling a blue cube out of the bag

9.

Andre surveyed a random sample of 20 students and found that 13 of them were in favor of having school start one hour later. The school has 250 students. Make an estimate for the number of students in the school who are in favor of having school start one hour later.

a)

About 163 students

b)

About 243 students

c)

About 100 students

d)

About 124 students

10.

Andre surveyed a random sample of 20 students and found that 13 of them were in favor of having school start one hour later. Do you think it would be surprising if 150 students out of 250 were in favor? Explain your reasoning.

a)

not surprising - it is close to what it should be

b)

surprising - it is pretty far away from what it should be

11.

In an experiment, a process of repeating the random selection of a letter has produced the following probability distribution. Which letter is most likely to be selected if the experiment is carried out again?

a)

A

b)

B

c)

C

d)

D

12.

In an experiment, a process of repeating the random selection of a letter has produced the following probability distribution. If this experiment was conducted 400 times, how many times would the letter C have been chosen?

a)

125 times

b)

100 times

c)

50 times

d)

60 times

13.

Three fair coins are tossed and the side each coin lands on is recorded. An outcome is a combination of a heads or tails of the three coins.

a)

HHH, HHT, HTH, HTT, TTT, TTH, THT, THH

b)

HHH, TTT, HHT, TTH

c)

HHH, HHT, HTH, TTT, THT, TTH

d)

HH, TT, TH, HT

14.

Three fair coins are tossed and the side each coin lands on is recorded. What is the probability that two coins land on heads and the third coin lands on tails (in that order)?

a)

1/2

b)

1/8

c)

2/8 or 1/4

d)

3/8

15.

Three fair coins are tossed and the side each coin lands on is recorded. What is the probability that all coins show the same side?

a)

1/2

b)

1/8

c)

2/8 or 1/4

d)

3/8

16.

Elena makes 80% of the free throw shots that she takes. Describe a way that you could simulate the probability that the next time she takes a shot, she will make it. SELECT ALL THAT APPLY.

a)

Rip up 10 equal size pieces of paper. Write "make" on 8 of them and "miss" on two. Pull all papers in a bag. Pick a piece of paper from the bag and mark what it says.

b)

Make a spinner with 5 equal sections. Write MAKE on four of them and MISS on one. Spin the spinner and record what it lands on.

c)

Use a die. Make four of the numbers MAKE and two of the numbers MISS. Roll the die and record what happens.

d)

Use a random number generator with ten numbers. The numbers 1 - 5 represent a MAKE and the numbers 6 - 10 represent a MISS. Have the random number generator pick a number for you.