Math 119 4.3 Worksheet
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School
Unitek College, Fremont *
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Course
205C
Subject
Mathematics
Date
Apr 3, 2024
Type
Docx
Pages
2
Uploaded by ChefKnowledge28913
Math 119 Lesson 4.3 Multiplication Rules for Probability
1.
Mrs. Burke’s mathematics class has 131
students, classified by academic year and major,
as illustrated in the table. Mrs. Burke randomly chooses one student to collect yesterday’s work.
1
Mrs. Burke’s Mathematics Class
Academic Year
Mathematics Majors
Non-Mathematics Majors
Freshmen
19
11
Sophomores
18
12
Juniors
15
18
Seniors
19
19
Step 1.
What is the probability that she selects a non-mathematics major, given that she
chooses randomly from only the freshmen? Enter a fraction or round your answer to 4
decimal places, if necessary.
Answer:
_______________
Correct Answer: 0.3667
Step 2.
What is the probability that she selects a freshman, given that she chooses a non-mathematics major? Enter a fraction or round your answer to 4
decimal places, if necessary.
Answer:
_______________
Correct Answer: 0.1833
2.
Out of 413
applicants for a job, 199
have over 5
years of experience and 156
have over 5
years of experience and have a graduate degree.
Step 1.
What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5
years of experience? Enter a fraction or round your answer to 4
decimal places, if necessary.
Answer:
_______________
Correct Answer: 0.7839
Step 2.
Consider that 181
of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 5
years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4
decimal
places, if necessary.
Answer:
_______________
Correct Answer: 0.8619
3.
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6
people, and there are
6
different possible weapons and 9
possible rooms. At one point in the game, you have narrowed the possibilities down to 2
people, 4
weapons, and 8
rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location
from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4
decimal places, if necessary.
Answer:
_______________
Correct Answer: 0.0156
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