Theoretical Probability
Experimental Probability
Qualitative
Quantitative
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100

Mayrin has a bag of coins. The bag contains 8 quarters, 10 dimes, 4 nickels, and 2 pennies. She will randomly select a coin from the bag. What is the probability that Mayrin will select a nickel? 

  1. 1/16

  2. 1/4 

  3. 1/6 

  4. 1/5

P(nickel) = 1/6

100

A student will spin a spinner and flip a coin in an experiment. The tree diagram shows all possible outcomes of the experiment. 

Which sample space is described by the tree diagram? 

  1. {(E,F,G), (H,T)}

  2. {(E,H), (E,T), (F,H), (F,T), (G,H), (G,T)}

  3. {(E, H, T), (F, H, T), (G, H, T)}

  4. {(E,E), (E,F), (E,G), (F,E), (F,F), (F,G), (G,E), (G,F), (G,G), (E,H), (E,T), (F,H), (F,T), (G,H), (G,T)}

B - {(E,H), (E,T), (F,H), (F,T), (G,H), (G,T)}

100

A cafeteria manager surveyed students to find out their favorite lunch. The results are shown in the table. 

One student is chosen at random. Based on the results, which statement is true? 

  1. The students favorite lunch is 4 times as likely to be spaghetti as any other food. 

  2. The student’s favorite lunch is twice as likely to be pizza as hamburger

  3. The student’s favorite lunch is equally likely to be salad or a vegetable plate 

  4. The students favorite lunch is more likely to be spaghetti than pizza

B - The student’s favorite lunch is twice as likely to be pizza as hamburger

200

Saniyah has soup cans in her pantry. 

  • 3 cans of chicken soup 

  • 2 cans of vegetable soup 

  • 3 cans of potato soup

  • 1 can of pea soup 

  • 6 cans of tomato soup

Saniyah will randomly choose a can of soup, put it back, and then choose another can. What is the probability that she will choose tomato soup and then a potato soup? 

  1. 2/5 
  2. 3/5 

  3. 2/25

  4. 9/25 

P(Tomato and Potato) = 2/25

200

The 300 students in 5th grade will go to the book fair. A random survey of 20 5th graders was organized to determine how many of each genre of book should be ordered for the book fair. The results are shown below. 

  • 2 science fiction books 

  • 4 mystery books 

  • 10 history books 

  • 4 adventure books 

Based on the survey results, which of these is the best prediction of the books wanted by the 300 students? 

  1. There are 20 students that want science fiction books

  2. There are 100 students that want either science fiction books or mystery books 

  3. There are 30 more students that want mystery books than science fiction books 

  4. There are 100 more students that want adventure books than history books. 

C - There are 30 more students that want mystery books than science fiction books

200

Hasan has two baskets of fruit. Each basket contains 3 apples 

  • Basket L contains 7 pieces of fruit. 

  • Basket M contains 14 pieces of fruit. 

Which statement is true? 

  1. The probability of randomly selecting an apple from Basket M is 1 

  2. The probability of randomly selecting an apple from Basket M is 0.5 

  3. The probability of randomly selecting an apple from Basket M is less than the probability of randomly selecting an apple from Basket L. 

  4. The probability of randomly selecting an apple from Basket L is equal to the probability of randomly selecting an apple from Basket M. 

C - The probability of randomly selecting an apple from Basket M is less than the probability of randomly selecting an apple from Basket L. 

300

Ms. Perkins is planning a field trip for the 7th graders at Killough Middle School. She will get two new buses and six old buses to transport the students. The students will be randomly placed on the buses when they arrive to school. Each bus holds 80 students. 

What is the probability that the first student to arrive will be seated on a new bus? 

  1. 1/4
  2. 1/2
  3. 1/6

  4. 1/40

A - 1/4

300

Zion spins a spinner 50 times and records the results of each spin on a table. 

Based on the data, what is the experimental probability that the next time the spinner is spun, it will land on yellow or green?

  1. 2/5

  2. 3/10

  3. 3/50

  4. 1/5

A - 2/5

300

Joel has belts in his closet. He has 4 leather belts, 3 plastic belts, 10 canvas belts, 6 rubber belts, and 1 denim belt. Joel will randomly choose a belt put it back, and then choose another belt. What is the probability that he will choose a plastic belt and then a canvas belt. 

  1. 13/24 

  2. 7/12 

  3. 5/96 

  4. 13/48 

C - 5/96

400

The spinner below is divided into congruent sections that are labeled from 1 to 5. 

Andy spins the spinner one time. What is the probability of the arrow NOT landing on a section labeled with an even number?  

  1. 2/5
  2. 1/2
  3. 3/5
  4. 1/3

C - 3/5

400

Henry has a bag of crayons. 

  • 5 red 

  • 11 orange 

  • 12 green 

  • 6 blue 

  • 11 purple 

How many times would you expect Henry to pick a red or blue crayon if she picked a crayon 90 times? 

  1. 11

  2. 45 

  3. 22 

  4. 135 

C - 22

400

A pet store worker received an order of 120 cat toys, with batteries included. The worker finds that 1 out 4 cat toys are missing batteries. Based on these results, how many cat toys are NOT missing batteries?

90 are NOT missing

500

A bag contains different flavored skittles.  A skittle will be randomly selected from the bag. 

  • 15 cherry flavored 

  • 6 grape flavored 

  • 18 lemon flavored 

  • 5 orange flavored 

What is the probability in decimal form that the selected skittle will be either grape or orange flavored? 

P(grape or orange) = 0.25

500

A math teacher surveys 10 randomly selected students in her classes. She finds that 7 of the 10 speak more than one language fluently. Based on this information, how many of her 140 students could be expected to speak more than one language?

98 Students

500

A spinner is divided into eight congruent sections. 

The spinner is spun 120 times, what is the probability of landing on a 1 or  5? 

  1. 3

  2. 15

  3. 30

  4. 45

D - 45

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