Self Studies

Probability Tes...

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  • Question 1
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    When a coin is tossed at random, then the probability of getting a head is ________.

  • Question 2
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    Two men hit at a target with probabilities $$\dfrac{1}{2}$$ and $$\dfrac{1}{3}$$ respectively. What is the probability that exactly one of them hits the target?

  • Question 3
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    In a single throw of a die, the probability of getting a multiple of $$3$$ is ____________.

  • Question 4
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    A die is tossed $$80$$ times and the number $$3$$ is obtained $$14$$ times. Now, a dice is tossed at random, then the probability of getting the number $$3$$ is ________.

  • Question 5
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    A die is thrown $$400$$ times, the frequency of the outcomes of the events are given as under.

    outcome
    $$1$$
    $$2$$
    $$3$$
    $$4$$
    $$5$$
    $$6$$
    Frequency
    $$70$$
    $$65$$
    $$60$$
    $$75$$
    $$63$$
    $$67$$
    Find the probability of occurrence of an odd number.

  • Question 6
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    The probability that a two digit number selected at random will be a multiple of '$$3$$' and not a multiple of '$$5$$' is

  • Question 7
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    On one page of a telephone directory there were $$200$$ telephone numbers. The frequency distribution of their unit place digit is given in the following table:

    Digit$$0$$$$1$$$$2$$$$3$$$$4$$$$5$$$$6$$$$7$$$$8$$$$9$$
    Frequency$$22$$$$26$$$$22$$$$22$$$$20$$$$10$$$$14$$$$28$$$$16$$$$20$$

  • Question 8
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    In a survey of $$364$$ children aged $$19-36$$ months, it was found that $$91$$ liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is :

  • Question 9
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    A coin is tossed $$150$$ times and the outcomes are recorded. The frequency distribution of the outcomes $$H$$ (i.e., head) and $$T$$ (i.e., tail) is given below :

    Outcome$$H$$$$T$$
    Frequency$$85$$$$65$$

    Find the value of $$P(H)$$, i.e., probability of getting a head in a single trial.

  • Question 10
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    To know the opinion of the student about the subject statistic, a survey of $$200$$ students was conducted.

    The data is recorded in the following table

    OpinionLikeDislike
    No. of Students$$135$$$$65$$

    Find the probability that a student chosen at random

    $$(i)$$ likes statistics, $$(ii)$$ does not like it.

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