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Calculate the Probability

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Calculate the probability of the situation below: For a class assignment, Patrick wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has red hair given that the driver has a red car?

a)

78%

b)

80%

c)

57%

d)

44%

2.

Is the following probability situation independent, dependent, or conditional? Two fair six-sided dice, one colored white and one colored red, are thrown. Find the probability that the score on the white die is 1 and red die is even.

a)

Independent only

b)

Dependent only

c)

Independent & conditional

d)

Dependent & conditional

3.

Calculate the probability of the situation below: There are five nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Both coins are nickels.

a)

211\frac{2}{11}

b)

14\frac{1}{4}

c)

30121\frac{30}{121}

d)

136\frac{1}{36}

4.

Calculate the probability of the situation below: A cooler contains ten bottles of soda: six Cokes and four Sprites. You randomly grab a bottle and give it to your friend. Then you randomly grab a bottle for yourself. Your friend gets Coke and you get Sprite.

a)

518\frac{5}{18}

b)

1039\frac{10}{39}

c)

415\frac{4}{15}

d)

1455\frac{14}{55}

5.

Calculate the probability of the situation below:

You select two cards from a standard shuffled deck of 52 cards. Both selected cards are hearts. (Note: 14\frac{1}{4}  of the 52 cards are spades.)

a)

14\frac{1}{4}  

b)

117\frac{1}{17}  

c)

29\frac{2}{9}  

d)

726\frac{7}{26}  

6.

Calculate the probability of the situation below: Akira attended a music store's banjo sale. She counted the types of banjos and made note of their discounts. What is the probability that a randomly selected banjo is 50% off given that the banjo has 4 strings?

a)

.57

b)

.43

c)

.5

d)

.38

7.

Is the following probability situation conditional? At Miss Patty’s Dance Studio, students can choose if they want to take tap, ballet, or both. What is the probability that, given the student takes ballet, they take both?

a)

yes

b)

no

8.

What is the probability of picking a green ball from this beaker?

a)

52\frac{5}{2}

b)

32\frac{3}{2}

c)

25\frac{2}{5}

d)

23\frac{2}{3}

9.

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

10.

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 yellow candy, not replacing it, then selecting a green candy?

a)

1/5

b)

3/19

c)

3/95

d)

12/380