AnswersMathematics IIApplications of Probability

Applications of Probability — Test Answers

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A spinner is divided into eight equal-sized sections, numbered from 1 to 8 , inclusive. What is true about spinning the spinner one time? Choose three correct answers.

A
If a subset cap A represents spinning a number less than 4 ,then cap A is equal to 1 comma 2 comma 3 comma 4 .
B
If a subset cap A represents the complement of spinning an odd number, then cap A is equal to 2 comma 4 comma 6 comma 8 .
C
cap s is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8
D
If cap A is a subset of cap s , cap A could be start set 7 comma 8 comma 9 end set .
E
If cap A is a subset of cap s , cap A could be start set 1 comma 2 comma 3 end set .
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A security alarm requires a four-digit code. The code can use the digits 0 - 9 and the digits cannot be repeated. Which expression can be used to determine the probability of the alarm code beginning with a number greater than 7 ?

A
the fraction with numerator open paren sub 2 cap p sub 1 close paren times open paren sub 9 cap p sub 3 close paren and denominator sub 10 cap p sub 4
B
the fraction with numerator open paren sub 10 cap p sub 1 close paren times open paren sub 9 cap p sub 3 close paren and denominator sub 10 cap p sub 4
C
the fraction with numerator open paren sub 2 cap c sub 1 close paren times open paren sub 9 cap c sub 3 close paren and denominator sub 10 cap c sub 4
D
the fraction with numerator open paren sub 10 cap c sub 1 close paren times open paren sub 9 cap c sub 3 close paren and denominator sub 10 cap c sub 4
24

Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset cap A of the sample space represents the complement of the event in which the number 6 is drawn from the bag. Which shows subset cap A ?

A
cap A is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 7 comma 8
B
cap A is equal to 6
C
cap A is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8
D
cap A is equal to 1 comma 3 comma 5 comma 7

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