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Probability Test - 9

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Probability Test - 9
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  • Question 1
    1 / -0

    A number is selected at random from 1 to 75. The probability that it is a perfect square is

    Solution

    Number of possible outcomes = {1,  4,   9,   16,   25, 36,  49, 64} = 8
    Number of Total outcomes = 75
    ∴ Probability (of getting a perfect square) = 8/75

  • Question 2
    1 / -0

    A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. The probability that the coin drawn will not be a five rupee coin is

    Solution

    Number of total coins = 100 + 50 + 20 + 10 = 180
    Number of coins except five rupee coins = 180 – 10 = 170
    ∴ Required Probability = 170/180 = 17/18

  • Question 3
    1 / -0

    The probability that it will rain on a particular day is 0.76. The probability that it will not rain on that day is

    Solution

    Given: P (It will rain on a particular day) = 0.76
    ∴ P (It will not rain on a particular day) = 1 – P (It will rain particular day)
    = 1 – 0.76 = 0.24

  • Question 4
    1 / -0

    There are 20 boys and 15 girls in a class. A student is chosen as leader at random. The probability that the leader is a boy is

    Solution

    Number of boys = 20
    Number of possible outcomes = 20
    Number of Total outcomes = 20 + 15 = 35
    ∴ Required Probability = 20/35 = 4/7

  • Question 5
    1 / -0

    From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a black king is

    Solution

    black kings = club king + spade king = 2
    Number of possible outcomes = 2
    Number of Total outcomes = 52
    ∴ Required Probability = 2/52 = 1/26

  • Question 6
    1 / -0

    From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a red queen is

    Solution

    Red Queens = Diamond Queen + Heart Queen = 2 
    Number of possible outcomes = 2
    Number of Total outcomes = 52
    ∴ Required Probability = 2/52 = 1/26

  • Question 7
    1 / -0

    An unbiased die is thrown once. The probability of getting a composite number is

    Solution

    Number of composite numbers on a dice = {4, 6} = 2
    Number of possible outcomes = 2
    Number of Total outcomes = 6
    ∴ Required Probability = 2/6 = 1/3

  • Question 8
    1 / -0

    From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a diamond 10 is

    Solution

    Number of diamond 10 = 1
    Number of possible outcomes = 1
    Number of Total outcomes = 52
    ∴ Required Probability = 1/52

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