CCHS
TPM4 Chapter 3 Section 3.3 Practice
Name ________________________________________ Date______________ Period: ___________
Decide if the events are mutually exclusive. Explain your reasoning.
1. Event A: Needing math to graduate
Event B: Needing English to graduate
2. Event A: Buying a pair of shoes that is too tight
Event B: Buying a pair of shoes that is too loose
3. A company that produces refrigerators finds
 the probability of the refrigerator having a dent is 0.24
 the probability of the refrigerator having a paint flaw is 0.12
 the probability of the refrigerator having both a dent and paint flaw is 0.06
a. Are the events “having a dent” and “having a paint flaw” mutually exclusive? Explain.
b. If an inspector selects a refrigerator, find the probability that the refrigerator has a dent or a paint
flaw?
4. From a deck of 52 cards, a card is drawn. Find the probability that:
a. the card is a 5 or an 8
b. the card is a king or a diamond
c. the card is a nine or a red card
Mambou
d. the card is a 4, 5, or 6
2/16/2016
5:44:03 PM
CCHS
5. In a sample of 600 students, 150 are seniors. If two students are selected at random from the sample,
find the probability that:
a. Both students are seniors
b. None of the students are seniors
c. At least one of the students is a senior
6. The following table compares the average annual income with the amount of education received for a
group of 200 workers:
$20,000 up to $30,000 $30,000 up to $40,000
$40,000 up to $50,000 Total
38
28
14
High School Graduate
80
Technical College
22
30
18
70
Graduate
10
12
28
4-yr.College Graduate
50
Total
70
70
60
200
If two workers are selected at random, find the probability that:
a. Both workers are high school graduates making $30,000 up to $40,000.
b. The first person is a College Graduate and the second person is a high school graduate.
Mambou
2/16/2016
5:44:03 PM
CCHS
TPM4 Chapter 3 Section 3.3 Practice
Name ______________Keys__________________ Date_February 16, 2016__ Period: _________
Decide if the events are mutually exclusive. Explain your reasoning.
1. Event A: Needing math to graduate
Event B: Needing English to graduate
Not Mutually Exclusive, as you might need Math & English @ the same time to graduate
2. Event A: Buying a pair of shoes that is too tight
Event B: Buying a pair of shoes that is too loose
Mutually Exclusive – can not happen at the same time
3. A company that produces refrigerators finds
 the probability of the refrigerator having a dent is 0.24
 the probability of the refrigerator having a paint flaw is 0.12
 the probability of the refrigerator having both a dent and paint flaw is 0.06
a. Are the events “having a dent” and “having a paint flaw” mutually exclusive? Explain.
no, because it could have a dent & a paint flaw
b. If an inspector selects a refrigerator, find the probability that the refrigerator has a dent or a paint
flaw? P (dent or paint flow) = P (dent) + p (paint flow) = 0.24 +0.06 = 0.30
4. From a deck of 52 cards, a card is drawn. Find the probability that:
a. the card is a 5 or an 8
b. the card is a king or a diamond
c. the card is a nine or a red card
d. the card is a 4, 5, or 6
5. In a sample of 600 students, 150 are seniors. If two students are selected at random from the sample,
find the probability that:
a. Both students are seniors
b. None of the students are seniors
c. At least one of the students is a senior
6. The following table compares the average annual income with the amount of education received for a
group of 200 workers:
$20,000 up to
$30,000 up to
$40,000 up to
Total
$30,000
$40,000
$50,000
38
28
14
High School Graduate
80
22
30
18
Technical College
70
Graduate
10
12
28
4-yr.College Graduate
50
Total
70
70
60
200
If two workers are selected at random, find the probability that:
a. Both workers are high school graduates making $30,000 up to $40,000.
b. The first person is a College Graduate and the second person is a high school graduate.
Mambou
2/16/2016
5:44:03 PM