Probability Mixed Review

A statistics class surveyed some students during one lunch period to obtain opinions about television programming preferences. The results of the survey are summarized in the table shown. Based on the sample, predict how many of the school's 351 males would prefer comedy. Justify your answer.

• 234

• 70

• 105

• 118

Tags

CCSS.7.SP.A.2

A student is chosen at random from the student body at a given high school. The probability that the student selects Math as the favorite subject is 1/4. The probability that the student chosen is a junior is 116/459. If the probability that the student selected is a junior or that the student chooses Math as the favorite subject is 47/108 , what is the exact probability that the student selected is a junior and selects Math as their favorite subject?

• $\frac{29}{459}$

• 
  

  $\frac{31}{459}$
  

• $\frac{1}{4}$

• $\frac{124}{459}$

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%

A survey about television-viewing preferences was given to randomly selected freshmen and seniors at Fairport High School. The results are shown in the table. A student response is selected at random from the results. State the exact probability the student response is from a freshman, given the student prefers to watch reality shows on television.

• $\frac{103}{276}$

• $\frac{103}{536}$

• $\frac{103}{213}$

• $\frac{276}{536}$

Tags

CCSS.HSS.CP.A.4

Data for the students enrolled in a local high school are shown in the Venn diagram. 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

• 0.344

• 0.3648

• 0.57

• 0.8

Tags

CCSS.HSS.CP.A.3

• A

• B

• C

• D

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.2

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.

• 0.94

• 0.8

• 0.68

• 0.85

Juan and Filipe practice at the driving range before playing golf. The number of wins and corresponding practice times for each player are shown in the table. Given that the practice time was long, determine the exact probability that Filipe wins the next match.

• 
  

  $\frac{12}{27}$
  

• $\frac{12}{22}$

• $\frac{27}{45}$

• $\frac{22}{45}$

Tags

CCSS.HSS.MD.B.5A

• 0.1

• 0.25

• 0.375

• 0.667