Independent And Dependent Events Day 2

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| By Etjersland
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Etjersland
Community Contributor
Quizzes Created: 3 | Total Attempts: 6,440
Questions: 5 | Attempts: 581

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Independence Day Quizzes & Trivia

Answer multiple choice questions based on independent and dependent events.


Questions and Answers
  • 1. 

    In a class of 12 boys and 14 girls, Find P(Boy then boy without replacement)

    • A.

      66/325

    • B.

      17/38

    • C.

      36/169

    • D.

      4/13

    Correct Answer
    A. 66/325
    Explanation
    The probability of selecting a boy on the first draw is 12/26. After the first boy is selected, there are 11 boys left out of a total of 25 students. Therefore, the probability of selecting another boy on the second draw without replacement is 11/25. Multiplying these probabilities together gives (12/26) * (11/25) = 132/650, which simplifies to 66/325.

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  • 2. 

    In a class of 12 boys and 14 girls, Find P(Girl then boy with replacement)

    • A.

      1/2

    • B.

      42/169

    • C.

      77/325

    • D.

      49/169

    Correct Answer
    B. 42/169
    Explanation
    The probability of selecting a girl and then a boy with replacement can be found by multiplying the probability of selecting a girl (14/26) by the probability of selecting a boy (12/26). This can be simplified to (14/26) * (12/26) = 168/676 = 42/169.

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  • 3. 

    Using a standard deck of 52 cards, Find P(King then King without replacement)

    • A.

      1/169

    • B.

      4/663

    • C.

      5/663

    • D.

      1/221

    Correct Answer
    D. 1/221
    Explanation
    The probability of drawing a King from a standard deck of 52 cards is 4/52 since there are 4 Kings in the deck. After drawing the first King, there are only 51 cards left in the deck, and 3 Kings remaining. Therefore, the probability of drawing another King without replacement is 3/51. To find the probability of both events happening, we multiply the probabilities together: (4/52) * (3/51) = 1/221.

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  • 4. 

    Using a standard deck of 52 cards, Find P(Ace then Jack with replacement)

    • A.

      2/169

    • B.

      1/13

    • C.

      1/169

    • D.

      4/663

    Correct Answer
    C. 1/169
    Explanation
    The probability of drawing an Ace from a standard deck of 52 cards is 4/52, since there are 4 Aces in the deck. After replacing the card, the probability of drawing a Jack is also 4/52. To find the probability of both events happening, we multiply the probabilities together: (4/52) * (4/52) = 16/2704 = 1/169. Therefore, the correct answer is 1/169.

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  • 5. 

    If you roll a standard die and flip a coin, find P(5 then a tail)

    • A.

      1/12

    • B.

      5/12

    • C.

      1/4

    • D.

      1/8

    Correct Answer
    A. 1/12
    Explanation
    The probability of rolling a 5 on a standard die is 1/6, and the probability of flipping a tail on a coin is 1/2. Since the events of rolling a 5 and flipping a tail are independent, we can multiply the probabilities together to find the probability of both events occurring. Therefore, the probability of rolling a 5 and then flipping a tail is (1/6) * (1/2) = 1/12.

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 24, 2010
    Quiz Created by
    Etjersland
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