Conditional Probability — Unit test Answers

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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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Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.If the students are chosen at random, what is the probability that the students chosen are not both girls?

A
StartFraction 12 Over 190 EndFraction
Option A
B
StartFraction 33 Over 95 EndFraction
Option B
C
StartFraction 62 Over 95 EndFraction
Option C
D
StartFraction 178 Over 190 EndFraction
Option D
23

Dayshawn can choose two of his four t-shirts to take on a weekend trip.If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?

A
S = {ABCD}
B
S = {ABCD, DCBA}
C
S = {AB, AC, AD, BC, BD, CD}
D
S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}
24

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.What is the theoretical probability that Chandra will be chosen as one of the science fair participants?

A
25%
B
60%
C
75%
D
80%
25

Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.

A
7%
B
13%
C
31%
D
56%

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