Unit 8 Test: Probability

A short quiz consists of five multiple choice questions, each with four possible answer choices. Only one answer choice is correct. If a student takes the quiz and randomly guesses on the first two questions, what is the probability that the answer choices for both questions are incorrect?

• 
  

  $\frac{1}{16}$
  

• $\frac{1}{12}$
  

• $\frac{3}{16}$
  

• $\frac{9}{16}$

A game comes with a deck of cards with each card showing one of the numbers 2, 3, 4, 5, 6, or 8. Each card occurs one time in red, one time in purple, and one time in blue. Given that a blue card is drawn, what is the probability the card is a 4?

• $\frac{1}{18}$

• $\frac{1}{6}$

• $\frac{1}{3}$

• $\frac{4}{9}$

Tags

CCSS.HSS.CP.B.6

Use the numbers 1 through 20 as a sample space for the sets of numbers described below.

 $X=\left\{mulitples\ of\ 3\right\}$  
 $Y=\left\{multiples\ of\ 4\right\}$  
 $Z=\left\{factors\ of\ 4\right\}$  
Which statement is true? 

• The union of X and Z is No Solution

• The intersection of Y and Z is {1, 2, 4, 8, 12, 16, 20}

• The union of X and Y is {3, 4, 6, 8, 9, 12, 15, 16, 18, 20}

• The intersection of X, Y, and Z is {1, 2, 3, 4, 6, 8, 9, 12, 15, 16, 18, 20}

Tags

CCSS.HSS.CP.A.1

The table below shows the number of boys and girls who passed or failed a recent test in history class. One person is chosen at random and is a boy. If passing the test is independent of gender, what is the probability that he passed the test?

• 0.32

• 0.60

• 0.67

• 0.72

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.2

A box has 20 balls, each marked with a different integer from 1 to 20. What is the probability that a randomly selected ball is marked with an even number, given that the same ball is marked with a two-digit number?

• $\frac{3}{10}$

• $\frac{1}{2}$

• $\frac{6}{11}$

• $\frac{3}{5}$

Tags

CCSS.HSS.CP.B.6

Based on past experiences, Miss Olenik knows that $\frac{1}{5}$ of the mistakes on the essays she grades are grammar mistakes,  $\frac{1}{8}$  of the mistakes are spelling mistakes, and  $\frac{1}{12}$  of the mistakes are both grammar and spelling mistakes.  If an essay is selected at random, what is the probability that the essay contains a grammar mistake or a spelling mistake?  

•  $\frac{19}{120}$  

•  $\frac{29}{120}$  

•  $\frac{39}{120}$  

•  $\frac{49}{120}$  

Tags

CCSS.HSS.CP.B.7

A seven-sided number cube with sides numbered 1,2, 3, 4, 5, 6, 7 is rolled. What is the probability that a 4 or an odd number is rolled.

• 
  

  $\frac{4}{49}$
  

• $\frac{2}{7}$

• $\frac{3}{7}$

• $\frac{5}{7}$

Tags

CCSS.HSS.CP.B.7

Three spinners are each divided into equal sections, as shown below. Each spinner is spun once. What is the probability that all three spinners will land on an "A" section?

• 
  

  $\frac{1}{60}$
  

• $\frac{1}{8}$

• $\frac{2}{15}$

• $\frac{1}{2}$

Suppose P={red, blue, green, yellow}, Q={red, green, black}, and R={black, green, purple}. What set is equivalent to $\left(P\cup R\right)\cap Q$  ?

• {green}

• {green, black}

• {red, green, black}

• {red, blue, green, yellow, black}

Tags

CCSS.HSS.CP.A.1

The table below shows the number of men and women who said in a recent survey that their favorite color was either blue or red. One person is chosen at random and is a woman. If favorite color is independent of gender, what is the probability that her favorite color will be blue?

• 0.33

• 0.37

• 0.40

• 0.50

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.2