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NDA - Probability Test 1203
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NDA - Probability Test 1203

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  • Question 1/5
    1 / -0.33
    Of a total of 600 bolts, 20% are too large and 10% are too small. The remainder are considered to be suitable. If a bolt is selected as random, the probability that it will be suitable is :
    Solutions

    Total number of bolts = 600

    Number of suitable bolts =

    So, the required probability

  • Question 2/5
    1 / -0.33
    arun and ved appeared for interview for two vacancies. The probability of Arun’s selection is ¼ and that of ved’s rejection is 2/3. Find the probability that at least one of them will be selected.
    Solutions
    c

    E1= arun is selected

    E2=ved is selected

    P(E1)=1/4

    P(E2)=1-=1/3

    Clearly both are independent events

    P(E1∩E2)= P(E1)×P(E2)=

    Required probability= P(E1∪E2)= P(E1)+ P(E2)- P(E1)P(E1)

    =

  • Question 3/5
    1 / -0.33
    Which one of the below statements may be possible?

    A) Probability of getting an AC seat in train is .

    B) Probability of getting struck by lightning according to a data of past 10 years is .

    C) Probability of getting A plus in test in a school according with given data .

    Solutions

    We know that range of probability lies from 0 to 1. This means probability of no event can be less than 0 or greater than 1.

    Check Statement A:

    Probability is given as , which is equal to , so statement A is not possible.

    Check Statement B:

    Probability is given as , which is equal to , so statement B is possible.

    Check Statement C:

    Probability is given as , which is equal to , so statement C is possible.

    Hence the correct option is c.

  • Question 4/5
    1 / -0.33
    What is the probability to occur a event E, if its ways of happening is 7 and ways of not happening is 3
    Solutions

    Consider:

    If the number of ways to occur an event E is m and the number of ways of not occurring is n then, then the probability of happening that event is:

    Hence, Option A is correct.

  • Question 5/5
    1 / -0.33
    If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25?
    Solutions

    Correct Answer is option A

    Maximum sum of numbers appearing on four dice together =24

    ∴Required probability=0

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