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Arithmetic Aptitude :: Probability

  1.  A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event'the number appearing is even' then find whether G and H are independent ?

  2. A.

    G and H are not independent events.

    B.

    G and H are independent events.

    C.

    Only G independent event

    D.

    None of these


  3.  An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event‘odd number on the second throw’. Check the independence of the events A and B.

  4. A.

    A or B are independent events

    B.

    A and B are not independent events

    C.

    A and B are independent events

    D.

    None of these


  5.  6 Coins are tossed simultaneously. find the probability to get 2 hands

  6. A.

    15/32

    B.

    5/64

    C.

    15/64

    D.

    None of these


  7.  If P(A) = 4/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.

  8. A.

    8/23

    B.

    8/25

    C.

    3/25

    D.

    None of these


  9.  Let A and B be independent events with P (A) = 0.7 and P(B) = 0.7. Find P(A n B)?

  10. A.

    4.9

    B.

     0.049

    C.

    0.49

    D.

    None of these


  11.  Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)?

  12. A.

    0.2

    B.

    0.3

    C.

    1.2

    D.

    None of these


  13.  Let A and B be independent events with P (A) = 0.13 and P(B) = 0.3. Find P(B/A)?

  14. A.

    2.34

    B.

    1.3

    C.

    0.3

    D.

    None of these


  15.  If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/8, find P (not A and not B).

  16. A.

    3/8

    B.

    1/8

    C.

    1/4

    D.

    None of these


  17.  Events A and B are such that P (A) = 1/3, P(B) = 7/6, and P(not A or not B) = 1/4. State whether A and B are independent?

  18. A.

    A and B are independent

    B.

    A and B are not independent

    C.

    A and B are neither or not independent

    D.

    None of these


  19.  The probability of obtaining an even prime number on each die, when a pair of dice is rolled

  20. A.

    0

    B.

    1/3

    C.

    1/26

    D.

    1/36