The Ultimate Probability Practice Test Questions!

30 Questions | Total Attempts: 522

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The Ultimate Probability Practice Test Questions!

What do you know about probabilities? Probabilities can be denoted as fractions, decimals, or percentages. One example of a definition of probability vocabulary is the word permutation. A permutation is an act of arranging the members of a set into a sequence or order. If the set is already arranged, then rearranging elements is the next step. Take this quiz to see if you have what it takes to pass the probability test.


Questions and Answers
  • 1. 
    "Probability" is defined as:
    • A. 

      Favorable outcomes divided by unfavorable outcomes

    • B. 

      Favorable outcomes divided by total outcomes

    • C. 

      Total outcomes divided by favorable outcomes

    • D. 

      Unfavorable outcomes divided by favorable outcomes

  • 2. 
    Experimental probability:
    • A. 

      Compares favorable outcomes to unfavorable outcomes.

    • B. 

      Demonstrates the number of times that an event actually occurred.

    • C. 

      Becomes less accurate the more that the experiment is repeated

  • 3. 
    When a die is rolled, what is the complement of getting an odd number?
    • A. 

      Getting an even number

    • B. 

      Getting an odd number

    • C. 

      Getting a 4 or 5

  • 4. 
    There are 10 pencils, 3 pens, and 14 markers in a bin.  What is the probability of choosing a pen and a pencil?
    • A. 

      3/729

    • B. 

      10/27

    • C. 

      30/729

    • D. 

      13/27

  • 5. 
    All the letters of the alphabet are written on a piece of paper and placed in bag.  A student draws out a letter without putting back the letter they draw a second letter.  What is the probability of picking a vowel and then the letter B?
  • 6. 
    A teacher has a box of crayons that contains 6 red, 6 blue, 6 green and 6 purple crayons.  Haily picks a crayon out of the box, then without putting that crayon back she picks a second crayon.  What is the probability that the first crayon is red and the second crayon is green?
    • A. 

      1/16

    • B. 

      11/47

    • C. 

      5/92

    • D. 

      3/46

  • 7. 
    A fair coin is thrown in the air four times.  If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?
    • A. 

      0

    • B. 

      1/16

    • C. 

      1/8

    • D. 

      1/2

  • 8. 
    A standard deck of 52 cards is shuffled.  What is the probability of choosing the 5 of diamonds?
    • A. 

      1/5

    • B. 

      1/13

    • C. 

      5/52

    • D. 

      1/52

  • 9. 
    A die is rolled.  What is the probability that the number rolled is greater than 2 and even?
    • A. 

      1/2

    • B. 

      1/3

    • C. 

      2/3

    • D. 

      5/6

  • 10. 
    There were 6 purple socks and 4 orange socks in a drawer.  Mackenzie picked one sock without looking and then another without looking (or replacing the first).  What is the probability that she picked two purple socks?
    • A. 

      1/2

    • B. 

      1/3

    • C. 

      1/4

    • D. 

      3/9

  • 11. 
    There were 6 purple socks and 4 orange socks in a drawer.  MK picked one sock without looking and then another without looking (or replacing the first).  What is the probability that she picked two orange socks?
    • A. 

      2/15

    • B. 

      4/10

    • C. 

      7/19

    • D. 

      3/4

  • 12. 
    One letter is randomly selected from the word MATH and a second letter is randomly selected from the word PROBABILITY.  Assuming that Y is a consonant and not a vowel, what is the probability that both letters selected will be VOWELS?
    • A. 

      1/10

    • B. 

      1/11

    • C. 

      1/12

    • D. 

      2/3

  • 13. 
    "Odds" are defined as:  
    • A. 

      Favorable outcomes to unfavorable outcomes

    • B. 

      Favorable outcomes to total outcomes

    • C. 

      Total outcomes to favorable outcomes

    • D. 

      Unfavorable outcomes to favorable outcomes

  • 14. 
    Probabilities can be written using: (Choose all that apply)
    • A. 

      Fractions

    • B. 

      Decimals

    • C. 

      Percents

    • D. 

      Values greater than 1

    • E. 

      Values between 0 and 1

    • F. 

      Values less than 0

  • 15. 
    Theoretical probability:
    • A. 

      Is based on mathematical rules or expectations

    • B. 

      Is the result of an experiment.

    • C. 

      Is less accurate than than "odds"

  • 16. 
    Suppose that you have a bag containing 3 red jelly beans, 4 green jelly beans, 5 yellow jelly beans, and 1 black jelly bean.   If you pick one jelly bean from the bag at random, what is the probability that the bean will be yellow?
  • 17. 
    Suppose that you have a bag containing 3 red jelly beans, 4 green jelly beans, 5 yellow jelly beans, and 1 black jelly bean. What are the odds against drawing a green jelly bean? 
  • 18. 
    Suppose that you have a bag containing 3 red jelly beans, 4 green jelly beans, 5 yellow jelly beans, and 1 black jelly bean.  If you pick one jelly bean, what is the probability that it will be either red or green?
  • 19. 
    Suppose that you have a bag containing 3 red jelly beans, 4 green jelly beans, 5 yellow jelly beans, and 1 black jelly bean. What is the probability that you will draw a purple jelly bean?
  • 20. 
    What are the odds that you choose the letter m from the word mathematics?
    • A. 

      2:11

    • B. 

      1:2

    • C. 

      2:9

    • D. 

      1:11

  • 21. 
    What are the odds that you choose a Queen from a standard deck of 52 cards?
    • A. 

      1:12

    • B. 

      1:52

    • C. 

      1:13

    • D. 

      0:52

  • 22. 
    What are the odds that you roll a 4 on a standard die?
    • A. 

      1:6

    • B. 

      1:4

    • C. 

      1:5

    • D. 

      1:2

  • 23. 
    What are the odds that you do not choose a King from a standard deck of 52 cards?
    • A. 

      1:12

    • B. 

      12:1

    • C. 

      13:1

    • D. 

      0:12

  • 24. 
    On a game show, the game that a contestant plays is chosen by spinning a spinner.  The spinner has 5 colors on it:  red, green, blue, purple, and orange.   What is the complement of spinning a red or orange on this spinner? 
    • A. 

      Purple

    • B. 

      Red, green, purple, orange, blue

    • C. 

      Green, purple, blue

  • 25. 
    There are 20 girls and 35 boys in the lunch room.  What is the probability of choosing a boy to sit with?
  • 26. 
    The students in gym class each pick lockers for their own use. Lizzie picks her locker, and then Parker chooses a locker.
    • A. 

      Independent

    • B. 

      Dependent

  • 27. 
    Each player on the soccer team can choose a jersey from the team jersey set, and each jersey contains a different two-digit number from 10 to 99. Brandon chooses 32, and Tyler chooses 77. 
    • A. 

      Independent

    • B. 

      Dependent

  • 28. 
    Eric rolls a six-sided number cube and gets a 3. He rolls it again and get a 4.
    • A. 

      Independent

    • B. 

      Dependent

  • 29. 
    An amusement park game has balls numbered from 1 to 52. Two balls are drawn in each round of the game and then replaced after the round of over. In round one of the game, the first number drawn is 13, and the second number drawn is 6. 
    • A. 

      Independent

    • B. 

      Dependent

  • 30. 
    A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter).  How many possible ways can a bag of popcorn be purchased?
    • A. 

      1

    • B. 

      3

    • C. 

      9

    • D. 

      27