College Math Qtr 3, Quiz #1 - Unit 8 - Probability and Sets

A ball is drawn at random from a ball pit containing 8 red balls, 7 yellow balls, 6 green balls and 5 purple balls. What is the probability that the ball drawn is yellow?

• 1/26

• 19/26

• 7/26

• 1

The table below shows a survey of 50 registered voters in a city. Each voter was asked whether they planned to vote "yes" or "no" on two different issues. If a voter who plans to vote "yes" on issue P is randomly selected, what is the probability that the voter also plans to vote "yes" on issue Q?

• 0.16

• 0.36

• 0.4

• 0.67

L = {0, 20, 40, 80, 100}
M = {5, 10, 15, 20, 25}
N = {10, 20, 30, 40, 50}

Sets L, M and N are shown above.  Which of the following $L\ \cup\ \left(M\ \cap\ N\right)$  ?

• {0, 5, 10, 15, 20, 25, 30, 40, 50, 80, 100}

• {0, 10, 20, 40, 80, 100}

• {20, 40}

• {20}

Which of the following correctly describes the relationship between the two linear equations below?

3y - 2x + 2 = 13x - 19 and x + 5y = 10

• Perpendicular

• Parallel

• The same line

• Neither parallel nor perpendicular

If the probability of a spinner landing on red in a game is 1/5, what is the probability of it not landing on red?

• 20%

• 25%

• 50%

• 80%

Patrick has 4 green hats, 3 blue hats, and 1 orange hat. If he selects a hat at random, what is the probability of selecting a green hat?

• 0.3

• 0.4

• 0.5

• 0.8

P = {6, 7, 11, 12, 15}

Q = {4, 7, 12, 15, 20}

S = {3, 4, 11, 12, 16}

Given sets P, Q and S above, which of the following sets represents  $S\ \cap\ \left(P\ \cup\ Q\right)$  ?

• {3, 4, 7, 11, 12, 15, 16}

• {4, 6, 7, 11, 12, 15, 20}

• {4, 7, 12, 15}

• {4, 11, 12}

Three high school juniors, Reese, Matthew and Chris, are running for student council president. A survey is taken a week before the election asking 40 students which candidate they will vote for in the election. The results are shown in the table below.

Based on the table, what is the probability that a student will vote for Reese?

• 1/3

• 3/8

• 3/5

• 5/8

A student council has seven officers, of which five are girls and two are boys. If two officers are chosen at random to attend a meeting with the principal, what is the probability that the first officer chosen is a girl and the second is a boy?

• 10/42

• 2/7

• 7/14

• 7/13

A jar contains 6 blue marbles, 12 green marbles, and 7 yellow marbles. Find the probability of randomly drawing a green or blue marble.

• 12/25

• 18/25

• 144/625

• 3/25