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Theoretical Probability - GJ

Total questions: 50

Worksheet time: 17mins

Name
Class
Date
1.

What is the P(4 or 5)?

a)

1/4

b)

1/2

c)

3/4

d)

1

2.

What is the P(even or greater than 2)?

a)

2/3

b)

1/5

c)

1/6

d)

1/2

3.

If you spin the spinner 5 times, what is the best prediction for the number of times you will land on yellow?

a)

2 times

b)

3 times

c)

5 times

4.

If you flip a coin 6 times, what is the best prediction for the number of times it will land on tails?

a)

1 times

b)

3 times

c)

6 times

5.
What is the Theoretical Probability of not landing on red?
a)
25%
b)
50%
c)
65%
d)
66.7%
6.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
7.
  Which of the following describes theoretical probability?
a)
a.  Perform an experiment to determine the probability
b)
a.      Determining the expected probability of an event
c)
a.  Perform a simulation and count the number of possible outcomes
d)
a.  Use trials to count the number of desired outcomes
8.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
9.
Find the theoretical probability of landing on orange or red if you spin the spinner.
a)
0
b)
3/8
c)
2/8
d)
1/4
10.
In a cup are the numbers 1 - 20. Find the theoretical probability of 
picking an even number. 
a)
10/20
b)
1/2
c)
1/20
d)
20/20
11.
In a cup are the numbers 1 - 20. Find the theoretical probability of 
picking a number divisible by 5. 
a)
4/20
b)
1/5
c)
5/20
d)
1/4
12.
An experiment consists of rolling a fair number cube. Find the theoretical probability of rolling a 3.
a)
1/6
b)
3/6
c)
1
d)
1/2
13.

Which color is the spinner least likely to land on?

a)

red

b)

yellow

c)

blue

d)

green

14.

Which color is the spinner most likely to land on?

a)

blue

b)

yellow

c)

green

d)

red

15.

Which color is the spinner equally likely to land on?

a)

green and yellow

b)

red and blue

c)

yellow and red

d)

blue and green

16.

There are 13 girls and 17 boys in a grade 6 classroom. The teacher puts each student's name into a hat, then draws one name. What is the theoretical probability that the first name will be a girl's name?

Write your answer as a fraction in lowest terms - a/b

a)

13/30

b)

12/15

c)

14/20

d)

14/30

17.

These counters are in a hat. You choose one. What is the theoretical probability that you don't pick yellow?


Write your answer as a fraction in lowest terms - a/b

a)

3/5

b)

6/10

c)

4/5

d)

6/7

18.

These counters are in a hat. You choose one. What is the theoretical probability that you pick blue?


Write your answer as a fraction in lowest terms - a/b

a)

1/5

b)

2/10

c)

3/20

d)

4/20

19.

Which of the following would show a theoretical probability of 1/8

a)

red

b)

blue

c)

green

d)

yellow

20.

The theoretical probability of rolling an even number on a die.

a)

30%

b)

1/2

c)

1/6

d)

5/6

21.

What is the probability of spinning green?

Choose the fraction in simplest form

a)
0
b)
1/4
c)
1/2
d)
3/4
22.

What is the probability of spinning an even number?

a)

30%

b)

33%

c)

50%

d)

67%

23.

You spin the spinner 1 time.


What is P(7)?

a)

1/3

b)

2/5

c)

3/4

d)

1/4

24.

Use the spinner to determine the theoretical probability of the event.


Spinning a 7

a)

18\frac{1}{8}

b)

78\frac{7}{8}

c)

17\frac{1}{7}

d)

115\frac{1}{15}

25.

Use the spinner to determine the theoretical probability of the event.

Spinning a number less than 3

a)

28\frac{2}{8} or  14\frac{1}{4}

b)

38\frac{3}{8}

c)

58\frac{5}{8}

d)

18\frac{1}{8}

26.

You have a jar with the following marbles: 4 blue, 8 red, 2 green

You randomly choose one marble from the jar. Find the theoretical probability of choosing one red marble. Choose simplest form

a)

47\frac{4}{7}

b)

814\frac{8}{14}

c)

43\frac{4}{3}

d)

811\frac{8}{11}

27.

If an event is absolutely impossible, what percent probability will it have?

a)

0%

b)

25%

c)

75%

d)

100%

28.

If an event is absolutely certain, what percent probability will it have?

a)

0%

b)

25%

c)

75%

d)

100%

29.
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
a)
1/8
b)
7/8
c)
1
d)
7
30.

For breakfast, you can choose to eat cereal or a bagel and to drink coffee, OJ, tea, or water. What is the sample space of this situation?

a)

2, because there are 2 things to choose from to eat.

b)

4, because there are 4 things to choose from to drink

c)

10, because I see 10 different words on the tree diagram

d)

8, because there are 8 different outcomes (cereal, coffee) (cereal, OJ) (cereal, tea) (cereal, water) (bagel, coffee) (bagel, OJ) (bagel, tea) (bagel, water)

31.

What is the probability of randomly choosing a breakfast with a bagel and coffee?

a)

1/8 because there is only 1 outcome out of the 8 possible choices that include both a bagel and coffee.

b)

1/2 because there is only cereal and a bagel to choose from

c)

1/4 because there is only one out of the four choices that include coffee

d)

3 because the words "coffee" and "bagel" are on the diagram a total of 3 times.

32.
a)
6
b)
12
c)
2
d)
10
33.

A Tree Diagram is

a)

A written list of all possible outcomes

b)

A description of all possible outcomes

c)

A drawing with branches of all possible outcomes

34.

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

a)

1

b)

1/2

c)

1/4

d)

1/8

35.

A tree diagram is useful in determining the __________of a probability experiment.

a)

result

b)

possible outcomes

c)

event

d)

none of the above

36.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

37.

What is the probability that you will get mushrooms on your pizza?

a)

2/10

b)

2

c)

2/5

38.

What is the probability that player A and Player B will not tie?

a)

3/9

b)

6/9

c)

2/9

d)

even chance

39.

What is the probability of rolling an EVEN number on a die and then landing on HEADS on a coin?

a)

1/2

b)

3/6

c)

3/12

d)

3 and 1

40.

What is the the probability of NOT landing on purple?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

41.

What is the probability of landing on red?

a)

0

b)

5/12

c)

1/2

d)

3/4

42.

A bag has 10 marbles. What is the probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

43.

If you were to roll the die one time what is the probability of it landing on a 2?

a)

2/6

b)

1

c)

1/6

d)

1/3

44.

What is the probability of landing on a number greater than 5?

a)

1/3

b)

2/6

c)

1/6

d)

2/3

45.

A bag has 10 marbles. What is the probability of pulling a green marble?

a)

20%

b)

30%

c)

40%

d)

50%

46.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

47.

What is the probability the spinner stops on yellow?

a)

.075

b)

50%

c)

25%

d)

3/8

48.

What is the probability of the spin stopping on yellow?

a)

1/4

b)

.25

c)

50%

d)

75%

49.
Probability can be written as a 
a)
fraction
b)
decimal
c)
percent
d)
all of the above
50.

How many outcomes are there with tossing a coin and rolling a die?

a)

2

b)

6

c)

12

d)

24

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