Probability Test

Students at a local high school are given the option to take one gym class, one music class or one of each. Out of 100 students, 60 say that they are currently take a gym class and 70 say they are taking a music class. How many students are taking both?

• 60

• 40

• 30

• 50

• 20

Tags

CCSS.HSA.CED.A.3

Given the Venn diagram. Which of the following does not belong to  $A\cup B$  ?

• 83

• 23

• -11

• 6

• 4

Tags

CCSS.HSS.CP.A.1

Sixty high school seniors were polled to see if they were taking history and calculus. A total of 29 students said they were taking calculus, and a total of 50 students said they were taking history. What is the minimum number of students who take both history and calculus?

• 19

• 79

• 0

• 12

• 21

Set A = {0, 2, 4, 6, 8}
Set B = {1, 3, 5, 7, 9}
What is the set  $C=A\cap B$  ?

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

• {0}

• Empty set

• {2, 3, 4}

• {1}

Tags

CCSS.HSS.CP.A.1

Find the probability: 

You flip a coin twice. The first flip lands tails-up and the second flip also lands tails-up.

•  $\frac{1}{4}=0.25$  

•  $\frac{2}{9}\approx0.222$  

•  $\frac{1}{12}\approx0.083$  

•  $\frac{1}{9}\approx0.111$  

Find the probability: 

A basket contains seven apples and eight peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples.

• $\frac{7}{26}\approx0.269$

• $\frac{1}{5}=0.2$

• $\frac{10}{33}\approx0.303$

• $\frac{1}{4}=0.25$

Find the probability: 

You roll a fair six-sided die. The die shows an even number or a number greater than three.

• $\frac{7}{11}\approx0.636$

• $\frac{2}{3}\approx0.667$

• $\frac{3}{4}\approx0.75$

• $\frac{5}{6}\approx0.833$

Tags

CCSS.HSS.CP.B.7

Find the probability:

There are ten shirts in your closet. Six are blue and four are green. Three of the blue shirts and one of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or fits well.

• $\frac{2}{3}\approx0.667$

• $\frac{5}{11}\approx0.455$

• $\frac{7}{10}\approx0.7$

• $\frac{10}{11}\approx0.909$

Tags

CCSS.HSS.CP.B.7

Is the situation independent or dependent?

There are six nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on your desk. Then you randomly pick another coin. Both coins are nickels.

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

Determine if the scenario involves mutually exclusive events:

A gym bag contains five yellow jerseys numbered one to five. The bag also contain four purple jerseys numbered one to four. You randomly pick a jersey. It is yellow or has an even number.

• Mutually exclusive

• Not mutually exclusive

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4