AnswersGrade 7 MathematicsProbability of Compound Events

Probability of Compound Events — Quiz Answers

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7

A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probability of pulling out a white sock, not replacing it, and pulling out another white sock?

A
The probability that the first sock is white is 6 tenths and that the second sock is white is 6 tenths , so the probability of choosing a pair of white socks is 36 over 100 is equal to 18 over 50 .
B
The probability that the first sock is white is 1 tenth and that the second sock is white is 1 tenth , so the probability of choosing a pair of white socks is open paren 1 over 100 close paren .
C
The probability that the first sock is white is 6 tenths and that the second sock is white is 5 ninths , so the probability of choosing a pair of white socks is 30 over 90 is equal to 1 third .
D
The probability that the first sock is white is 1 tenth and that the second sock is white is 1 ninth , so the probability of choosing a pair of white socks is 1 over 90 .
9

Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be used to determine the probability that if three students are chosen at random from the math class to do a group project, the first student chosen to be in the group is in the fourth period science class but the other two are not?

A
open paren 8 over 30 close paren times open paren 8 over 30 close paren times open paren 8 over 30 close paren
B
open paren 8 over 30 close paren times open paren 22 over 30 close paren times open paren 21 over 30 close paren
C
open paren 8 over 30 close paren times open paren 22 over 29 close paren times open paren 21 over 28 close paren
D
open paren 8 over 30 close paren times open paren 7 over 29 close paren times open paren 6 over 28 close paren

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