AnswersMathematics IIApplications of Probability

Practice Test Answers

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Which statement must be true?

A
Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
B
Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
C
Out of the 125 children who do not have any siblings, 34 of them have a pet.
D
Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
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 5 comma 6 end set .
B
cap s is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6
C
If a subset cap A represents the complement of rolling an even number, then cap A is equal to 1 comma 3 .
D
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 .
E
If cap A is a subset of cap s , cap A could be start set 0 comma 1 comma 2 end set .
6

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 c sub 2 and denominator sub 50 cap c sub 2
B
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
C
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
D
the fraction with numerator sub 30 cap p sub 2 and denominator sub 50 cap p sub 2
10

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 shower gel divides scented 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 scented divides shower gel close paren is equal to 42 percent

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