AnswersAlgebra IIProbability

Practice Test Answers

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1
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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 sub 30 cap p sub 2 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 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
2
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Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen?

A
60 percent
B
50 percent
C
70 percent
D
40 percent
3

Josie believes that her mom calls her at the most inconvenient times. As a matter of fact, Josie thinks that 80 percent of the times that her mom calls, she is busy doing important tasks such as schoolwork, driving, or feeding the family pets. Which is the best interpretation of this probability?

A
Over the course of many weeks, about 80 percent of the calls from Josie’s’ mom will come when she is busy doing important tasks.
B
Josie’s mom is calling her 80 percent of the day.
C
If Josie is doing 10 important tasks in one day, her mom will call during 8 of those tasks.
D
Josie has an 80 percent chance of completing her important tasks without her mom calling her.
4

A certain dog can catch a properly thrown tennis ball with a probability of 0 point 9 5 Unfortunately, this dog has dropped the last six properly thrown tennis balls. The owner explains that the next throw has to be caught by the dog because he never misses this many. Is the owner’s reasoning correct?

A
Yes, the dog catches 95 percent of properly thrown tennis balls, so the next one must be caught to compensate for the previous misses.
B
Yes, the dog has missed the last six properly thrown tennis balls, so the next one thrown will be caught.
C
No, the dog is on a losing streak, so he will drop the next ball thrown.
D
No, the probability of the dog catching a properly thrown tennis ball is 0 point 9 5 over the long run, so the owner cannot say what will happen on the next throw.
5

A recent survey found that 80 percent of jeans have back pockets, 65 percent have front pockets, and 48 percent have both back and front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the probability that a randomly selected pair of jeans with front pockets also has back pockets?

A
0 point 5 2
B
0 point 7 4
C
0 point 8 1
D
0 point 6 0
6

Which of the following is the correct value and interpretation of cap p times open paren cap p divides cap l close paren ?

A
cap p times open paren cap s divides cap l close paren is equal to 0 point 5 7 ; given that the student prefers low light, there is a 0 point 5 7 probability that they sometimes study.
B
cap p times open paren cap s divides cap l close paren is equal to 0 point 3 5 ; given that the student prefers low light, there is a 0 point 3 5 probability that they sometimes study.
C
cap p times open paren cap s divides cap l close paren is equal to 0 point 5 7 ; given that the student sometimes studies, there is a 0 point 5 7 probability that they prefer low light.
D
cap p times open paren cap s divides cap l close paren is equal to 0 point 3 5 ; given that the student sometimes studies, there is a 0 point 3 5 probability that they prefer low light.

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