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ACA Probability Review (Test 4)

Total questions: 20

Worksheet time: 1hrs 27mins

Name
Class
Date
1.

If you choose from the following M & M colors, what is the probability that you choose blue?

5 green

6 yellow

8 blue

7 brown

a)

14\frac{1}{4}

b)

413\frac{4}{13}

c)

825\frac{8}{25}

d)

13\frac{1}{3}

2.

Suppose there are 200 students in the cafeteria during lunch. How many students would you expect to choose pizza as their favorite cafeteria food?

a)

90

b)

104

c)

18

d)

72

3.
If you spin the spinner 90 times, how many times should the number 3 be selected?
a)
9
b)
15
c)
16
d)
30
4.

Karla will select 2 different side dishes from the following list at a restaurant.

  • French Fries

  • Salad

  • Onion Rings

  • Beans

    Which list shoes all the possible outcomes of 2 different side dishes from this list?

a)

French Fries and Salad

Onion Rings and Beans

b)

French Fries and Salad

French Fries and Onion Rings

Salad and Beans

Salad and Onion Rings

Onion Rings and Beans

c)

French Fries and Salad

French Fries and Onion Rings

French Fries and Beans

Salad and Onion Rings

Salad and Beans

Onion Rings and Beans

d)

French Fries and Salad

French fries and Onion Rings

Salad and Onion Rings

Salad and Beans

5.

A clothing store has the following items on sale:

  • 50 dresses
  • 10 blouses
  • 40 skirts
  • 45 sweaters

Caroline selects an item at random. Based on the given information, which statement is true?

a)

The item is more likely to be a dress than a sweater.

b)

The item is more likely to be a blouse than a skirt.

c)

The item is less likely to be a sweater than a blouse.

d)

The item is less likely to be a sweater than a skirt.

6.

Alejandro surveyed the students in the cafeteria during his lunch period to find out their favorite meal. Based on the table, fill in the blank to create a true statement.


The student's favorite meal is equally likely to be ____________ or _________________ combined as it is to be chicken nuggets.

a)

hamburgers, grilled chicken sandwich

b)

chicken nuggets, pizza

c)

hamburger, pizza

d)

hamburger, chicken nuggets

7.

Matt has a bag of candy from a party. The bag contains 8 chocolate bars, 5 pieces of gum, 4 lollipops, and 8 jawbreakers. Which statement is true?

a)

The probability of randomly selecting a piece of gum is less than the probability of randomly selecting a lollipop.

b)

The probability of randomly selecting a chocolate bar is equal to the probability of randomly selecting a jawbreaker.

c)

The probability of randomly selecting a lollipop is greater than the probability of randomly selecting a chocolate bar.

d)

The probability of randomly selecting a piece of gum is 1 out of 4.

8.

A food critic surveyed his readers about their favorite weekday to eat at restaurant. The results are shown in the table. A reader is chosen at random. Based on the data, which statement is true?

a)

The reader's favorite day is 4 times as likely to be Friday as Monday.

b)

The reader's favorite day is more likely to be Friday than all other days combined.

c)

The reader's favorite day is more likely to be Wednesday or Thursday than any other day.

d)

The reader's favorite day is half as likely to be Tuesday as Friday.

9.
There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.
a)

12\frac{1}{2}

b)

136\frac{1}{36}

c)

16\frac{1}{6}

d)

166\frac{1}{66}

10.

Your drawer contains 6 red socks and 10 blue socks. It's too dark to see which are which, but you grab two anyway. What is the probability that both socks are red?

a)

5/15

b)

36/256

c)

1/3

d)

1/8

11.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)

949\frac{9}{49}

b)

4125\frac{4}{125}

c)

110\frac{1}{10}

d)

130\frac{1}{30}

12.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?
a)

12\frac{1}{2}

b)

411\frac{4}{11}

c)

110\frac{1}{10}

d)

23\frac{2}{3}

13.
An event that consists of two or more events
a)
 event
b)
dependent events
c)
experiment
d)
compound event
14.

Probability that is based on repeated trials of an experiment or the # of times an event occurs/ total number of trials; what actually happens

a)

Fundamental Counting Principle

b)

theoretical probability

c)

experimental probability

d)

experiment

15.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
16.

A store sells handbags in two colors: black and white. They are available in 2 different sizes: small and large. Which diagram shows every possible combination of the color and size of a bag that one can buy?

a)

Tree diagram 3

b)

Tree diagram 4

c)

Tree diagram 1

d)

Tree diagram 2

17.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
18.

What is the probability of choosing an animal that does not have 4 legs?

a)

15\frac{1}{5}

b)

25\frac{2}{5}

c)

35\frac{3}{5}

d)

45\frac{4}{5}

19.

A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens.


What is the probability of choosing a pen that is not red or blue?

a)

25\frac{2}{5}

b)

35\frac{3}{5}

c)

45\frac{4}{5}

d)

15\frac{1}{5}

20.
A bag of markers has 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Maria pulls out a marker without looking, what is the probability he will NOT pull out a blue marker?
a)

510\frac{5}{10}

b)

13\frac{1}{3}

c)

415\frac{4}{15}

d)

23\frac{2}{3}