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General Addition Rule

Total questions: 17

Worksheet time: 45mins

Name
Class
Date
1.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
2.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
P( Yellow or green)
a)
1/40
b)
7/20
c)
6/19
d)
1/38
3.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
4.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
5.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
6.

Amanda spins a spinner numbered 1 to 10. What is the probability that the spinner lands on an odd number or a number that is divisible by 3?

a)

45\frac{4}{5}

b)

35\frac{3}{5}

c)

15\frac{1}{5}

d)

320\frac{3}{20}

7.

A total of 540 customers, who frequented an ice cream shop, responded to a survey asking if they preferred chocolate or vanilla ice cream.

308 of the customers preferred chocolate ice cream.

263 of the customers were female.

152 of the customers were males who preferred vanilla ice cream.

What is the probability that a customer chosen at random is a male or prefers vanilla ice cream?

a)

419540\frac{419}{540}

b)

119180\frac{119}{180}

c)

197540\frac{197}{540}

d)

38135\frac{38}{135}

8.

Thirty-two percent of families residing in a rural, farming town own a goat and 41% of families own a dog. Twenty-four percent of families own both types of animals. If a family from this town is chosen at random, what is the probability that it owns either a goat or a dog?

a)

0.15

b)

0.33

c)

0.49

d)

0.97

9.

A seven-sided number cube with sides numbered 1, 2, 3, 4, 5, 6, 7 is rolled. What is the probability that an odd number or a seven is rolled?

a)

449\frac{4}{49}

b)

37\frac{3}{7}

c)

47\frac{4}{7}

d)

1415\frac{14}{15}

10.

If P(A) = 0.24, P(B) = 0.41, and P(A and B) = 0.18, what is P(A or B)?

a)

0.17

b)

0.47

c)

0.59

d)

0.65

11.

A single 6-sided die is rolled. What is the probability of rolling a number greater than 3 or an even number?

a)

1

b)

2/3

c)

5/6

d)

None of the above

12.

A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5?

a)

1/3

b)

2/3

c)

1/2

d)

None of the above

13.

A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a king or a club?

a)

1/52

b)

16/52

c)

17/52

d)

None of the above

14.

In a math class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys and 5 girls made an A grade. If a student is chosen at random from the class, what is the probability of choosing a girl or an A student?

a)

22/30

b)

17/30

c)

13/30

d)

None of the above

15.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
16.
The enrollment at Southburg High School is 1400.  Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra.  What is the probability that a student selected randomly takes French or algebra?
a)
1250/1400
b)
700/1400
c)
550/1400
d)
17/28
17.

The table above displays the 100 senators of the 112th U.S Congress on January 5, 2011, classified by political party affiliation and gender. A senator is selected at random from this group. Compute the following probability: The senator is an Democrat or an Independent.

a)

.42

b)

.53

c)

.002

d)

.50