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Probability 10a,b 13-16

Total questions: 40

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

Kaiden, Marley, and Garryn are competing in a burrito-eating contest. Their probabilities of winning the contest are as follows:

P(Marley wins)=0.35

P(Kaiden wins) = 25 %

P(Garryn wins)= 2/5

Put the following events in order from least to most likely.

a)

Marley, Kaiden, Garryn

b)

Kaiden, Marley, Garryn

c)

Kaiden, Garryn, Marley

d)

Marely, Garryn, Kaiden

2.

A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?

a)

independent

b)

dependent

3.

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

a)

dependent

b)

independent

4.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble? (leave answer in fraction form in lowest terms)

a)

9/49

b)

16/49

c)

12/42

d)

12/49

5.

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

a)

9/49

b)

1/7

c)

3/14

d)

6/42

6.

What is the P(blue)?

(leave answer in fraction form in lowest terms)

a)

1/3

b)

1/6

c)

1/2

d)

2/6

7.

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

a)

1/6

b)

1/9

c)

1/36

d)

1/30

8.
Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)
a)
4/225
b)
1/105
c)
3/71
9.

What is the probability of drawing an odd number, then drawing a 6? (no replacement--dependent event)

a)

3/8

b)

3/7

c)

9/56

d)

5/37

10.

Daniel took 12 index cards and wrote the numbers 1-12 on them, one number on each card. He then collected the cards, shuffled them, and drew one card from the stack. What is the probability that the number on the card is greater than 0?

a)

0%

b)

10%

c)

100%

d)

50%

11.

7.SP.3.5

The local weather report states that there is a 70% chance of rain today.

How likely is it to rain?

(a)  

12.

7.SP.3.6 An owner of a small store knows that in the last week

54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash?

a)

15\frac{1}{5}  

b)

14\frac{1}{4}  

c)

12\frac{1}{2}  

d)

13\frac{1}{3}  

13.

7.SP.3.7 Mila has a bag filled with marbles.

In which situations would the probability of

Mila drawing a blue marble from the bag be not 13\frac{1}{3}  ?

a)

A bag with 3 blue marbles.

b)

A bag with 30 blue, 15 green, and 45 orange marbles.

c)

A bag with 50 red, 30 blue, 10 black, and 10 purple marbles.

d)

A bag with 11 green, 13 red, and 12 blue marbles.

14.

Which event has a probability of zero or impossible to happen?

a)

Rolling a 7 on a 6 sided dice.

b)

Tossing a coin and landing on heads.

c)

Rolling an even number on a dice.

d)

The sun rising in the morning.

15.

Find the probability of NOT rolling a 3 on a single die.

a)

1/6

b)

2/6

c)

5/6

d)

3

16.

How many outcomes are in the sample space for tossing one coin?

a)

1

b)

2

c)

4

d)

8

17.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
18.
Probability can be expressed as a number between_____ and _____.
a)
0 and 100
b)
0 and 10
c)
0 and 1
d)
-1 and 1
19.

Find the probability of rolling greater than a 1 on a single die.

a)

6/6

b)

5/6

c)

4/6

d)

1/6

20.

The spinner was spun 30 times and landed on blue 12 times. What was the experimental probability of the spinner landing on colors that were not blue?

a)

2/5

b)

3/5

c)

4/5

d)

1/5

21.

Jason rolls a die 14 times.. What is the Experimental probability that he will roll a 1 or 6?

a)

1/3

b)

1/4

c)

3/7

d)

1/8

22.

What is the difference between experimental and theoretical probability?

a)

Experimental is based on trials, Theoretical is based on theory

b)

Experimental is based on theory, Theoretical is based on trials

c)

There is no difference, they are the same

23.

How many outcomes are there for a quiz that has 5 true-false questions?

a)

2⋅5=102\cdot5=10

b)

2⋅2⋅2⋅2⋅2=322\cdot2\cdot2\cdot2\cdot2=32

c)

2+2+2+2+2=102+2+2+2+2=10

d)

5+5+5+5+5=255+5+5+5+5=25

24.
The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
a)
7 because 2 + 3 + 2
b)
12 because 2 x 3 x 2
25.

You roll two die.

What is the probability you will roll a 4, then roll a number less than 3?

a)

1/36

b)

1/18

c)

1/9

d)

1/6

26.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
27.

If 33% of the students at GMS have a pet, then what is the complement of this event?

a)

33%

b)

77%

c)

67%

d)

50%

28.
Event A has a probability of 0.3. What is the probability of the complement of Event A?
a)
30%
b)
3/100
c)
7/100
d)
0.7
29.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
30.
Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent. 
a)
Independent
b)
Dependent
31.
Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?
a)
1/3
b)
1/33
c)
3/100
d)
2/99
32.
How many total outfit options are represented?
a)
12
b)
22
c)
3
33.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
34.

Find the experimental probability of tossing tails.

a)

2/3

b)

5/8

c)

1/3

d)

2

35.
a)

10; 1/25

b)

25; 1/25

c)

10; 1/5

d)

25; 1/5

36.

Suppose the probability that it rains in the next two days is 1/4 for tomorrow and 1/6 for the day after tomorrow. What is P(rain tomorrow, then rain the day after tomorrow)?

a)

5/12

b)

1/5

c)

1/12

d)

1/24

37.

P(consonant, then vowel)

a)

1/12

b)

2/9

c)

1/2

d)

1/9

38.

Mr. Gulledge is having lunch at a sandwich shop. He can choose white bread or pumpernickel bread. His options for filings are tuna, ham, or chicken salad. His choices for condiments are mayo, ranch, or mustard. How many different sandwich choices does Mr. Gulledge have?

a)

36

b)

18

c)

24

d)

12

39.

In how many ways could you choose two different letters from the letters Q U I Z?

a)

24 ways

b)

6 ways

c)

120 ways

d)

10 ways

40.

A spinner that has 3 sections of equal are, numbered from 1 to 3, is spun two times in succession. Which is NOT part of the sample space?

a)

(1,1)

b)

(4,3)

c)

(3,2)

d)

(3,1)