AnswersFL-1200330-Algebra 2 Sem 2 - FlexTheoretical and Experimental Probability

Lesson 4.5: Conditional Probability Answers

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21
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A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

A
9%
B
15%
C
21%
D
57%
22
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If events A and B are independent, what must be true?

A
P(A|B) = P(B)
B
P(A|B) = P(A)
C
P(A) = P(B)
D
P(A|B) = P(B|A)
23

A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced.To the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen?

A
0.02
B
0.19
C
0.21
D
0.25
26

Use the Venn diagram to calculate probabilities.

Question illustration
A
P(A|B) =
Option A
B
P(B|A) =
Option B
C
P(A|C) =
Option C
D
P(C|A) =
Option D
27

A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.

A
StartFraction 9 Over 65 EndFraction
Option A
B
StartFraction 24 Over 65 EndFraction
Option B
C
StartFraction 64 Over 169 EndFraction
Option C
D
StartFraction 128 Over 325 EndFraction
Option D
28

A survey of the 12th grade students at Gaffigan High School found that 84% of the seniors have their driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day.

A
17%
B
19%
C
36%
D
70%

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Lesson 4.5: Conditional Probability Answers…