2 Students in a math class were divided into three groups. Each group was given a paper bag filled with an unknown number of marbles of unknown colors. For each bag, a marble was drawn at random and then put back. Each group repeated this procedure until they recorded 50 draws from the bag. The data for the three bags is shown below. BAG A BAG B BAG C Number of Marbles Number of Number of Color Color Marbles Color Marbles Red 39 Red 10 Red 3 White White 15 White 15 Yellow 9. Yellow 15 Yellow Purple Purple 10 Purple 25 Choose True or False for each statement. a. In Bag B, it appears to be equally likely to draw a white marble as it is a yellow marble. OTrue OFalse b. The probability of drawing a yellow marble from Bag C is approximately 7%. OTrue False c. The probability of drawing a purple marble from Bag A after 200 draws is likely 0. OTrue False d. If marbles from Bag C were drawn 10,000 times, about 600 red marbles are likely to be drawn. OTrue UFalse e. Each bag definitely contains an equal number of marbles. OTrue OFalse

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Lesson 31 & Independent Practice
Practice Using Experimental Probability
Solve the problems.
1 In the cafeteria, there are 7 teachers, 48 girls, and 45 boys. What is the probability that a
person chosen at random from the cafeteria is a boy?
9
20
9
11
11
20
D
2 Students in a math class were divided into three groups. Each group was given a paper bag
filled with an unknown number of marbles of unknown colors. For each bag, a marble was
drawn at random and then put back. Each group repeated this procedure until they recorded
50 draws from the bag. The data for the three bags is shown below.
BAG A
BAG B
BAG C
Number of
Number of
Number of
Color
Marbles
Color
Marbles
Color
Marbles
Red
39
Red
10
Red
White
2
White
15
White
15
Yellow
9
Yellow
15
Yellow
Purple
Purple
10
Purple
25
Choose True or False for each statement.
a. In Bag B, it appears to be equally likely to draw
a white marble as it is a yellow marble.
True
False
b. The probability of drawing a yellow marble from
Bag C is approximately 7%.
OTrue UFalse
c. The probability of drawing a purple marble from
Bag A after 200 draws is likely 0.
True
False
d. If marbles from Bag C were drawn 10,000 times,
about 600 red marbles are likely to be drawn.
OTrue
False
e. Each bag definitely contains an equal number
True
of marbles.
False
294
OCurriculum Associates, LLC Copying is not permitt
Lesson 31 Experimental Probability
Transcribed Image Text:Lesson 31 & Independent Practice Practice Using Experimental Probability Solve the problems. 1 In the cafeteria, there are 7 teachers, 48 girls, and 45 boys. What is the probability that a person chosen at random from the cafeteria is a boy? 9 20 9 11 11 20 D 2 Students in a math class were divided into three groups. Each group was given a paper bag filled with an unknown number of marbles of unknown colors. For each bag, a marble was drawn at random and then put back. Each group repeated this procedure until they recorded 50 draws from the bag. The data for the three bags is shown below. BAG A BAG B BAG C Number of Number of Number of Color Marbles Color Marbles Color Marbles Red 39 Red 10 Red White 2 White 15 White 15 Yellow 9 Yellow 15 Yellow Purple Purple 10 Purple 25 Choose True or False for each statement. a. In Bag B, it appears to be equally likely to draw a white marble as it is a yellow marble. True False b. The probability of drawing a yellow marble from Bag C is approximately 7%. OTrue UFalse c. The probability of drawing a purple marble from Bag A after 200 draws is likely 0. True False d. If marbles from Bag C were drawn 10,000 times, about 600 red marbles are likely to be drawn. OTrue False e. Each bag definitely contains an equal number True of marbles. False 294 OCurriculum Associates, LLC Copying is not permitt Lesson 31 Experimental Probability
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