Probability Quiz: Dependent Events

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Bheaton1
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  • 1/10 Questions

    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?

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About This Quiz

Students will find the probability of dependent events. MM1D2b

Probability Quiz: Dependent Events - Quiz

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  • 2. 

    From a standard deck of cards, you draw two cards without replacement.  What is the probability you drew a 6 and then an ace?

    Explanation
    The probability you pick a is 4/52, the probability you then pick an ace is 4/51
    Multiply the probabilities and reduce to get: 4/663

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  • 3. 

    There are 6 red, 4 green, 5 blue and 5 yellow marbles in a jar.  What is the probability of picking a green marble, then a blue marble if you do not put back the first marble?

    • 1/20

    • 1/19

    • 9/20

    • 9/40

    Correct Answer
    A. 1/19
    Explanation
    Find the probability of picking green (4/20), then find the probability of picking blue (5/19). Remember there is one less marble in the jar.
    Finally multiply the probabilities and reduce to get 1/19

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  • 4. 

    There are 6 red, 4 green, 5 blue and 5 yellow marbles in a jar.  What is the probability of picking a green marble, then a green marble if you do not put back the first marble?

    • 3/95

    • 4/95

    • 7/20

    • 1/25

    Correct Answer
    A. 3/95
    Explanation
    Find the probability of picking green (4/20), then find the probability of picking green again (3/19). Remember there is one less marble in the jar and that you assume the marble picked was green.
    Finally multiply the probabilities and reduce to get 3/95

    Rate this question:

  • 5. 

    From a standard deck of playing cards, you pick a card and without returning the card you pick a second card.  What is the probability that you picked a spade and then a heart?

    • 1/16

    • 1/2

    • 13/2704

    • 13/204

    Correct Answer
    A. 13/204
    Explanation
    Find the probability of picking a spade (13/52 or 1/4), then find the probability of picking a heart (13/51). Remember there is one less card.
    Multiply the probabilities and reduce to get: 13/204

    Rate this question:

  • 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 purple and the second crayon is purple?

    • 1/16

    • 11/47

    • 5/92

    • 3/46

    Correct Answer
    A. 5/92
    Explanation
    First find the probability of picking a purple crayon (6/24 or 1/4), then find the probability that the second crayon is also purple (5/23). Both the numberator and denominator change because we are picking the same color and not returning the first crayon.
    Multiply the probabilities together to get: 5/92 reduced

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  • 7. 

    On a math test, 5 out of 30 students got an A. If two students are chosen at random without replacement, what is the probability that the first student did NOT get an A and the second student got an A on the test? 

    • 5/36

    • 2/87

    • 1/36

    • 25/174

    Correct Answer
    A. 25/174
    Explanation
    First find the probability of picking NOT an A student (25/30 or 5/6), then find the probability of the second student is an A student (5/29)
    Multiply the probabilities together and reduce to get: 25/174

    Rate this question:

  • 8. 

    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?

    • 1/16

    • 11/47

    • 5/92

    • 3/46

    Correct Answer
    A. 3/46
    Explanation
    First find the probability of picking a red crayon (6/24 or 1/4), then find the probability that the second crayon is green (6/23).
    Multiply the probabilities together to get: 3/46 reduced

    Rate this question:

  • 9. 

    On a math test, 5 out of 30 students got an A. If three students are chosen at random without replacement, what is the probability that all three got an A on the test? 

    • 1/406

    • 1/216

    • 1/4

    • 125/24360

    Correct Answer
    A. 1/406
    Explanation
    First find the probability of picking an A student (5/30 or 1/6), then find the probability of the second A student (4/29) and finally the third A student (3/28)
    Multiply the probabilities together and reduce to get: 1/406

    Rate this question:

  • 10. 

    From a standard deck of playing cards, you pick a card and without returning the card you pick a second card.  What is the probability that you picked a 10 and then a face card (king, queen or jack)?

    • 3/169

    • 12/663

    • 2/13

    • 1/221

    Correct Answer
    A. 12/663
    Explanation
    Find the probability of picking a 10 (4/52 or 1/13), then find the probability of picking a face card (12/51). Remember there is one less card.
    Multiply the probabilities and reduce to get: 12/663

    Rate this question:

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  • Current Version
  • Jul 08, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 02, 2011
    Quiz Created by
    Bheaton1
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