AnswersIntegrated Math II CR SUSD EXApplications of Probability

Practice Test Answers

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5

A number cube has faces numbered 1 to 6 What is true about rolling the number cube one time? Choose three correct answers.

A
If cap A is a subset of cap s , cap A could be start set 0 comma 1 comma 2 end set .
B
If a subset cap A represents the complement of rolling a 5 , then cap A is equal to 1 comma 2 comma 3 comma 4 comma 6 .
C
cap s is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6
D
If a subset cap A represents the complement of rolling an even number, then cap A is equal to 1 comma 3 .
E
If cap A is a subset of cap s , cap A could be start set 5 comma 6 end set .
6

Hana has a bag containing one red (R), one blue (B), and one yellow (Y) tile. She draws two tiles out of the bag, one after the other. Which explanation and tree diagram represent a pair of dependent of events?

A
Once a tile is chosen, it can be chosen again: Image with description A tree diagram showing three draws from a bag. The first level branches into three options, R, B, and Y. From R, the second level branches into B and Y. From B, the second level branches into R and Y. From Y, the second level branches into R and B. Each second-level branch excludes the tile already drawn at the first level.
B
Once a tile is chosen, it cannot be chosen again: Image with description A tree diagram showing three draws from a bag. The first level branches into three options, R, B, and Y. From R, the second level branches into B and Y. From B, the second level branches into R and Y. From Y, the second level branches into R and B. Each second-level branch excludes the tile already drawn at the first level.
C
Once a tile is chosen, it cannot be chosen again: Image with description A tree diagram showing three draws from a bag. The first level branches into three options, R, B, and Y. From R, the second level branches into R, B and Y. From B, the second level branches into R, B and Y. From Y, the second level branches into R, B and Y.
D
Once a tile is chosen, it can be chosen again: Image with description A tree diagram showing three draws from a bag. The first level branches into three options, R, B, and Y. From R, the second level branches into R, B and Y. From B, the second level branches into R, B and Y. From Y, the second level branches into R, B and Y.
7

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42 percent chance of grabbing a bottle of shower gel. For the events "shower gel” and "scented” to be independent, what must be shown to be true?

A
cap p times open paren scented divides shower gel close paren is equal to 42 percent
B
cap p times lotion is equal to 42 percent
C
cap p times scented is equal to 42 percent
D
cap p times open paren shower gel divides scented close paren is equal to 42 percent
12

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag. Which expression represents the probability that one of the marbles is red and the other is blue?

A
the fraction with numerator sub 30 cap p sub 2 and denominator sub 50 cap p sub 2
B
the fraction with numerator open paren sub 10 cap c sub 1 close paren times open paren sub 20 cap c sub 1 close paren and denominator sub 50 cap c sub 2
C
the fraction with numerator sub 30 cap c sub 2 and denominator sub 50 cap c sub 2
D
the fraction with numerator open paren sub 10 cap p sub 1 close paren times open paren sub 20 cap p sub 1 close paren and denominator sub 50 cap p sub 2
16

Which statement must be true?

A
Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
B
Out of the 125 children who do not have any siblings, 34 of them have a pet.
C
Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
D
Out of the 125 children who do not have a pet, 18 of them have 2 siblings.

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