Probability

A suburban high school has a population of 1376 students. The number of students who participate in sports is 649. The number of students who participate in music is 433. If the probability that a student participates in either sports or music is , what is the probability that a student participates in both sports and music? $\frac{947}{1376}$  

•  $\frac{281017}{1893376}$  

•  $\frac{108}{1376}$  

•  $\frac{429}{1376}$  

•  $\frac{681135}{1893376}$  

Tags

CCSS.HSS.CP.B.7

On a given school day, the probability that Nick oversleeps is 48% and the probability he has a pop quiz is 25%. Assuming these two events are independent, what is the probability that Nick oversleeps and has a pop quiz on the same day?

• 73%

• 36%

• 23%

• 12%

Data for the students enrolled in a local high school are shown in the Venn diagram above.  If a student from the high school is selected at random, what is the probability that the student is a sophomore given that the student is enrolled in Algebra II?

•  $\frac{85}{210}$  

•  $\frac{85}{295}$  

•  $\frac{85}{405}$  

•  $\frac{85}{1600}$  

Tags

CCSS.HSS.CP.B.6

Sean's team has a baseball game tomorrow. He pitches 50% of the games. There is a 40% chance of rain during the game tomorrow. If the probability that it rains given that Sean pitches is 40%, it can be concluded that these two events are

• independent

• dependent

• mutually exclusive

• complements

Tags

CCSS.HSS.CP.A.3

Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability of Gabriella randomly selecting a quarter from the coins left in the jar?

• $\frac{14}{44}$

• $\frac{30}{44}$

• $\frac{14}{50}$

• $\frac{20}{50}$

Tags

CCSS.7.SP.C.7B

A fast-food restaurant analyzes data to better serve its customers. After its analysis, it discovers that the events D, that a customer uses the drive-thru, and F, that a customer orders French fries, are independent. The following data are given in a report:
 $P\left(F\right)=0.8$  
 $P\left(F\cap D\right)=0.456$  
Given this information,  $P\left(F\ given\ D\right)$  is

• 0.344

• 0.3648

• 0.57

• 0.8

Tags

CCSS.HSS.CP.A.3

Consider the probability statements regarding events A and B below.

 $P\left(A\ or\ B\right)=0.3$  
 $P\left(A\ and\ B\right)=0.2$  
 $P\left(A\ given\ B\right)=0.8\$  
What is  $P\left(B\right)$  ?

• 0.1

• 0.25

• .0375

• 0.667

Suppose events A and B are independent and  $P\left(A\ and\ B\right)$  is 0.2. Which statement could be true?

•  $P\left(A\right)=0.4,\ P\left(B\right)=0.3,\ P\left(A\ or\ B\right)=0.5$  

•  $P\left(A\right)=0.8,\ P\left(B\right)=0.25$  

•  $P\left(A\ given\ B\right)=0.2,\ P\left(B\right)=0.2$  

•  $P\left(A\right)=0.15,\ P\left(B\right)=0.05$  

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

The probability that a resident of a housing community opposes spending money for community improvement on plumbing issues is 0.8. The probability that a resident favors spending money on improving walkways given that the resident opposes spending money on plumbing issues is 0.85. Determine the probability that a randomly selected resident opposes spending money on plumbing issues and favors spending money on walkways.

• 0.05

• 0.94

• 0.45

• 0.68

Consider the data in the table above. What is the probability that a randomly selected person is male given the person is left handed?

• $\frac{13}{200}$

• $\frac{13}{100}$

• $\frac{13}{50}$

• $\frac{13}{24}$

Tags

CCSS.HSS.CP.A.4