Probability: Test 2

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Probability Test 2: questions and answers

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  1. 1. A fair coin is tossed three times. What is the probability of getting exactly two heads?
    1. 3/8
    2. 1/6
    3. 1/36
    4. 5/8

    Reference: q-a7de31ee-89 · Report this question

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    Answer: A. 3/8

    There are 8 outcomes. Exactly two heads: HHT, HTH, THH. P = 3/8.
  2. 2. A die is thrown once. What is the probability of getting an even number?
    1. 1/26
    2. 1/2
    3. 2/5
    4. 5/6

    Reference: q-db25adf9-73 · Report this question

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    Answer: B. 1/2

    The even numbers are 2, 4 and 6. P = 3/6 = 1/2.
  3. 3. A bag contains 9 red, 4 blue and 6 green balls. One ball is drawn at random. What is the probability that it is red?
    1. 9/10
    2. 4/19
    3. 9/19
    4. 6/19

    Reference: q-3d25e372-117 · Report this question

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    Answer: C. 9/19

    Total balls = 19. P(red) = 9/19.
  4. 4. A bag contains 6 red and 4 white balls. Two balls are drawn at random. What is the probability that both are red?
    1. 3/5
    2. 2/15
    3. 9/25
    4. 1/3

    Reference: q-bef05d18-114 · Report this question

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    Answer: D. 1/3

    Ways to choose 2 red = 15. Ways to choose any 2 = 45. P = 15/45 = 1/3.
  5. 5. A card is drawn from a well-shuffled pack of 52 cards. What is the probability that it is a face card (jack, queen or king)?
    1. 5/36
    2. 1/7
    3. 1/2
    4. 3/13

    Reference: q-29df0392-125 · Report this question

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    Answer: D. 3/13

    There are 12 face cards. P = 12/52 = 3/13.
  6. 6. A fair coin is tossed twice. What is the probability of getting exactly one head?
    1. 1/5
    2. 2/5
    3. 1/2
    4. 1/4

    Reference: q-71f7be19-82 · Report this question

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    Answer: C. 1/2

    Outcomes: HH, HT, TH, TT. Exactly one head occurs in HT and TH, so P = 2/4 = 1/2.
  7. 7. A die is thrown once. What is the probability of getting a number greater than 4?
    1. 1/3
    2. 1/6
    3. 1/7
    4. 3/4

    Reference: q-90398b74-82 · Report this question

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    Answer: A. 1/3

    The favourable numbers are 5 and 6. P = 2/6 = 1/3.
  8. 8. A bag contains 8 red, 8 blue and 5 green balls. One ball is drawn at random. What is the probability that it is red?
    1. 5/21
    2. 3/7
    3. 8/21
    4. 8/13

    Reference: q-564d2370-117 · Report this question

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    Answer: C. 8/21

    Total balls = 21. P(red) = 8/21.
  9. 9. A bag contains 3 red and 5 white balls. Two balls are drawn at random. What is the probability that both are red?
    1. 5/14
    2. 3/28
    3. 9/64
    4. 3/8

    Reference: q-73512d44-114 · Report this question

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    Answer: B. 3/28

    Ways to choose 2 red = 3. Ways to choose any 2 = 28. P = 3/28 = 3/28.
  10. 10. Two dice are thrown together. What is the probability that the sum of the numbers is 8?
    1. 5/36
    2. 5/9
    3. 1/12
    4. 1/7

    Reference: q-c15437d6-88 · Report this question

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    Answer: A. 5/36

    The favourable pairs are (2,6), (3,5), (4,4), (5,3), (6,2). P = 5/36.

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