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Arithmetic Aptitude :: Probability

  1.  A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

  2. A.

    13/42

    B.

    17/42

    C.

    5/42

    D.

    3/14


  3.  In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7.

  4. A.

    1/2

    B.

    5/12

    C.

    7/15

    D.

    3/12


  5.  A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?

  6. A.

    1/5

    B.

    3/5

    C.

    2/5

    D.

    None of these


  7.  Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4, find P (E|F) and P(F|E)

  8. A.

    3/4,2

    B.

    1/4,1

    C.

    1,1/4

    D.

    None of these


  9.  If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B)

  10. A.

    0.32

    B.

    0.36

    C.

    0.16

    D.

    0.64


  11.  If P(A) = 5/13, P(B) = 7/13, and P(A ∩ B) = 8/13, Find P(A ∪ B)?

  12. A.

    4/13

    B.

    5/13

    C.

    6/13

    D.

    None of these


  13.  If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B)

  14. A.

    6/15

    B.

    3/4

    C.

    3/2

    D.

    None of these


  15.  If P(A) = 6/17, P(B) = 5/17, and P(A ∪ B) = 4/17 Find P(B|A)?

  16. A.

    6/3

    B.

    2/5

    C.

     2/7

    D.

     2/3


  17.  An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?

  18. A.

    1/7

    B.

    2/7

    C.

    7/3

    D.

    3/7


  19.  Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.What is the probability that first two cards are queens and the third card drawn is an ace?

  20. A.

    2/5530

    B.

    3/5525

    C.

    2/5525

    D.

    4/5525