Self Studies

Probability Tes...

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  • Question 1
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    There are $$40$$ students in a class and their results is presented as below :

    Result (Pass/Fail)PassFail
    Number of Students$$30$$$$10$$

    If a student chosen at random out of the class, find the probability that the student has passed the examination

  • Question 2
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    $$400$$ students of class $$X$$ of a school appeared in a test of $$100$$ marks in the subject of social
    studies and the data about the marks secured is as below :

                Marks
              secured
    Number of
    Students
                $$0-25$$     $$50$$
              $$26-50$$    $$220$$
              $$51-75$$    $$100$$
            Above $$75$$      $$30$$
    Total number of students    $$400$$

    If the result card of a student he picked up at random, what is the probability that the student has secured more than $$50$$ marks.

  • Question 3
    1 / -0

    There are $$40$$ students in a class and their results is presented as below :

    Result (Pass/Fail)PassFail
    Number of Students$$30$$$$10$$

    If a student chosen at random out of the class, find the probability that the student has passed the examination.

  • Question 4
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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 5
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    A die having six faces is tossed $$80$$ times and the data is as below:


    Outcome



    $$1$$



    $$2$$



    $$3$$



    $$4$$



    $$5$$



    $$6$$



    Frequency



    $$10$$



    $$20$$



    $$10$$



    $$28$$



    $$8$$



    $$4$$


    Find $$P (1) $$.

  • Question 6
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    A die is thrown $$200$$ times and the outcomes $$1, 2, 3, 4, 5, 6$$ have frequencies as below:


    Outcome



    $$1$$



    $$2$$



    $$3$$
     


    $$4$$



    $$5$$



    $$6$$



    Frequency



    $$40$$



    $$38$$



    $$43$$



    $$29$$



    $$28$$



    $$22$$


    Find the probabilities of getting a number more than $$1$$ and less than $$6$$ in a toss (trial).

  • Question 7
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    There are $$500$$ packets in a large box and each packet contains $$4$$ electronic devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below:

    No. of faulty
    devices in a packet
    Number of packets
                     $$0$$             $$300$$
                     $$1$$             $$100$$
                     $$2$$               $$50$$
                     $$3$$               $$30$$
                     $$4$$               $$20$$
    Total number of packets              $$500$$

    If one packet is drawn from the box, what is the probability that all the four devices in the packet are without any fault?

  • Question 8
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    In a shooting game, John shoots the balls $$20$$ times out of $$40$$ trials. What is the empirical probability of the shooting event?

  • Question 9
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    Directions For Questions

    10  bags of wheat flour each marked 5 kg, actually contained weights of flour (in kg)
    $$5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00$$

    ...view full instructions

    Find probability of bag chosen out random contains more than $$5\ kg$$.

  • Question 10
    1 / -0

    What is the probability that there are $$5$$ Mondays in the month of February 2016?

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