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sample space & compound probability

Total questions: 25

Worksheet time: 5hrs 41mins

Name
Class
Date
1.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
40%
c)
1/3
d)
5
2.
Which shows the sample space for flipping two coins? 
H = heads, T = tails
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
HH, TT, TT, HH
3.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the CORRECT Sample Space List of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
4.

Three coins are tossed. Use the Sample Space provided. What's the probability of landing on the same side on all 3 coins? (Remember to simplify your answer).

a)

⅛

b)

1/4

c)

⅓

d)

⅞

5.

The sample space tree diagram for a team of three students is shown. What is the probability that the team would consist of at least2 girls? (Simplify your answer).

a)

½

b)

⅜

c)

¾

d)

⅙

6.
Probability is defined as...
a)
the set of all possible outcomes.
b)
the likelihood that an event will happen.
c)
a tree diagram.
d)
the fundamental counting principle.
7.
Tree diagrams are useful because...
a)
they are cool to draw.
b)
they show you pictures of the food.
c)
they show you all possible outcomes.
d)
they only show you the best choices.
8.
Based on the tree diagram, what is the probability of choosing a combination with a chicken sandwich?
a)
1/3
b)
4/12
c)
2/12
d)
2/4
9.
Based on the tree diagram, what is the probability of eating a salad with juice?
a)
6/12
b)
1/2
c)
3/12
d)
1/4
10.
Based on the sample space, what is the probability of NOT wearing a red shirt OR grey trousers?
a)
9/16
b)
7/16
c)
8/16
d)
4/16
11.
During lunch, you have a choice of 1 burger, 1 side and 1 drink. Which multiplication sentence shows the total number of possible combinations?
a)
4 x 2
b)
4 + 2 + 4
c)
4 + 2
d)
4 x 2 x 4
12.
When rolling 1 die once, spinning a spinner once, and flipping a coin once, how many combinations are possible? 
a)
13
b)
32
c)
60
d)
16
13.
How many total outfit options are represented?
a)
12
b)
22
c)
3
14.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
15.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
16.

Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?

a)

7 combinations

b)

12 combinations

c)

3 combinations

d)

4 combinations

17.
A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
18.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
19.

What is the probability of spinning red two times in a row?

a)

19\frac{1}{9}  

b)

16\frac{1}{6}  

c)

13\frac{1}{3}  

d)

29\frac{2}{9}  

e)

26\frac{2}{6}  

20.

One of the three contestants will be randomly selected to win a prize. One of three different prizes will be randomly awarded to the contestant whose name is selected to win. What is the probability that Whitney will win Prize 2?

a)

19\frac{1}{9}

b)

16\frac{1}{6}

c)

29\frac{2}{9}

d)

39\frac{3}{9}

e)

112\frac{1}{12}

21.

A fair coin is tossed three times in succession. The sample space is shown, where H represents a head and T represents a tail. Find the probability of getting exactly two heads.

a)

38\frac{3}{8}

b)

33\frac{3}{3}

c)

28\frac{2}{8}

d)

58\frac{5}{8}

e)

78\frac{7}{8}

22.

A single number cube is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 4.

a)

112\frac{1}{12}

b)

436\frac{4}{36}

c)

118\frac{1}{18}

d)

636\frac{6}{36}

23.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a blue, eating it then selecting yellow?
a)
2/18
b)
1/9
c)
2/20
d)
1/19
24.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
25.
Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kings? 
a)
1/26 = 3.85%
b)
1/69 = 1.45%
c)
1/221 = 0.45%
d)
4/663 = 0.60%

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