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Probability Test - 1

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Probability Test - 1
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  • Question 1
    1 / -0

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

    Solution

     

    Explanation:

    Number of possible outcomes = {2, 3, 5} = 3

    Number of Total outcomes = 6

    ∴ Probability of getting a prime number = 3/6 = 1/2

     

     

  • Question 2
    1 / -0

    A die is thrown once. The probability of getting an even number and a multiple of 3 is

    Solution

     

    Explanation:

    even outcomes = 2 , 4 , 6 = 3

    and multiple of 3 also =6 =1 only

    Number of possible outcomes = {6} = 1

    Number of Total outcomes = 6

    ∴ Required Probability = 1/6

     

  • Question 3
    1 / -0

    When a die is thrown, the probability of getting an odd number less than 3 is

    Solution

    Explanation:

    Odd outcomes are 1 , 3 , 5 but 3 and 5 are not less than 3

    Number of possible outcomes whtch are odd and less than 3  = 1  

    Number of possible outcomes = {1} = 1

    Number of Total outcomes = 6

    ∴ Required Probability = 1/6

     

     

  • Question 4
    1 / -0

    One card is drawn from a well shuffled pack of 52 cards. The probability of getting an ace is

    Solution

     

    Explanation:

    Number of possible outcomes = 4

    Number of Total outcomes = 52

    ∴ Probability of getting an ace = 4/52 = 1/13

     

  • Question 5
    1 / -0

    A box contains 3 blue balls, 2 white balls and 4 red balls. If a ball is drawn at random from the box, the probability of getting a white ball is

    Solution

     

    Explanation:

    Number of outcomes = 2

    Number of total outcomes = 3 + 2 + 4 = 9

    ∴ Required Probability =2/9

     

  • Question 6
    1 / -0

    If ‘φ’ is an impossible event, then p(φ) =

    Solution

    Explanation:

    An event which has no chance of occurring is called an impossible event

    If ‘φ’ is an impossible event, then p(φ) = 0

     

     

  • Question 7
    1 / -0

    If S is the sample space of a random experiment, then p(S) =

    Solution

    Explanation:

    If S is the sample space of a random experiment, the p(S) = 1

     

     

  • Question 8
    1 / -0

    There are 8 defective items in a sample of 24 items. One item is drawn at random. The probability that it is a non defective item is

    Solution

     

    Explanation:

    Number of Non-defective items = 24 – 8 = 16

    Number of possible outcomes = 16

    Number of Total outcomes = 24

    Probability of getting a Non-defective item = 16/24 = 2/3

     

     

  • Question 9
    1 / -0

    The probability that a student will score centum in Mathematics is 3/10. The probability that the student will not score centum is

    Solution

     

    Explanation:

    Given: P (E) = 3/10

    P (not E) = 1 – P (E) = 1 − 3/10 = 7/10

     

     

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