B. Determine whether the events are mutually exclusive or not mutually exclusive. Then, find the probability. Show your solution. 1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red chip or a white chip?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 7CC
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B. Determine whethor the events are mutually exclusive or not mutually exclusive. Then, find the probability. Show your solution.
1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red
chip or a white chip?
Solution:
2. Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are
also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member
of the varsity team?
Solution:
3. Ruby's dog has 8 puppies. The puppies include white females, 3 mixedcolor females, 1 white male, and 2 mixed-color
males. Ruby wants to keep one puppy. What is the probability that she randomly chooses a puppy that is female and white?
Solution:
C. Determine whether the event is dependent events (DE) or independent events (IE). Solve the following problems.
Show your solution.
1. A bag contains 6 black marbles, 9 blue marbles, 4 yellow marbles, and 2 green marbles. A marble is randomly
selected, replaced, and a second marble is randomly selected. Find the probability of selecting a black marble, then a yellow
marble.
Solution:
2. A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates. Malou randomly chooses
a chocolate, eats it, and then randomly chooses another chocolate. What is the probability that Malou choose a milk
chocolate, and then, a white chocolate?
Solution:
3. A rental agency has 12 white cars, 8 gray cars, 6 red cars, and 3 green cars for rent. Mr. Escobar rents a car, returns it
because the radio is broken, and gets another car. What is the probability that Mr. Escobar is given a green car and then a
gray car?
Solution:
4. A toy box contains 12 toys, 8 stuffed animals, and 3 board games. Shiena randomly chooses 2 toys for the child she is
babysitting to play with. What is the probability that she chose 2 stuffed animals as the first 2 choices?
Solution:
D. Solve the following problems. Show your solution.
1.A survey of students to determine if they had a pierced ear was given. The results are summarized in the table below. If one
person is selected at random find the probability that the person is:
A. a female given they are pierced.
Solution:
Nut
Pieed
Fierced
Total
Male
136
144
32
180
320
500
B. a male given they have pierced
Solution:
Female
288
Total
324
176
Transcribed Image Text:B. Determine whethor the events are mutually exclusive or not mutually exclusive. Then, find the probability. Show your solution. 1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red chip or a white chip? Solution: 2. Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team? Solution: 3. Ruby's dog has 8 puppies. The puppies include white females, 3 mixedcolor females, 1 white male, and 2 mixed-color males. Ruby wants to keep one puppy. What is the probability that she randomly chooses a puppy that is female and white? Solution: C. Determine whether the event is dependent events (DE) or independent events (IE). Solve the following problems. Show your solution. 1. A bag contains 6 black marbles, 9 blue marbles, 4 yellow marbles, and 2 green marbles. A marble is randomly selected, replaced, and a second marble is randomly selected. Find the probability of selecting a black marble, then a yellow marble. Solution: 2. A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates. Malou randomly chooses a chocolate, eats it, and then randomly chooses another chocolate. What is the probability that Malou choose a milk chocolate, and then, a white chocolate? Solution: 3. A rental agency has 12 white cars, 8 gray cars, 6 red cars, and 3 green cars for rent. Mr. Escobar rents a car, returns it because the radio is broken, and gets another car. What is the probability that Mr. Escobar is given a green car and then a gray car? Solution: 4. A toy box contains 12 toys, 8 stuffed animals, and 3 board games. Shiena randomly chooses 2 toys for the child she is babysitting to play with. What is the probability that she chose 2 stuffed animals as the first 2 choices? Solution: D. Solve the following problems. Show your solution. 1.A survey of students to determine if they had a pierced ear was given. The results are summarized in the table below. If one person is selected at random find the probability that the person is: A. a female given they are pierced. Solution: Nut Pieed Fierced Total Male 136 144 32 180 320 500 B. a male given they have pierced Solution: Female 288 Total 324 176
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