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Arithmetic Aptitude :: Probability

  1.  One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ?

  2. A.

    6/13

    B.

    1/2

    C.

    7/13

    D.

    27/52


  3.  What if the probability of getting a king or a queen in a single drawn from a pack of 52 cards ?

  4. A.

    1/26

    B.

    1/13

    C.

    2/13

    D.

    None of these


  5.  A card is drawn from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king ?

  6. A.

    4/13

    B.

    9/13

    C.

    2/13

    D.

    4/13


  7.  Seven white balls and three black balls are randomly placed in a row, The probability that no two black balls are placed adjacently equals ?

  8. A.

    1/2

    B.

    7/15

    C.

    2/15

    D.

    1/3


  9.  The chance of throwing a total of 3 or 5 or 11 with two dics is ?

  10. A.

    5/36

    B.

    1/9

    C.

    2/9

    D.

    19/36


  11.  The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3. The probability that neither of them is alive after 10 years is ?

  12. A.

    1/2

    B.

    1/12

    C.

    7/12

    D.

    3/4


  13.  The number of tosses that have to be made in order that there is 99% probability of getting at least one head is ?

  14. A.

    5

    B.

    7

    C.

    6

    D.

    8


  15.  If an integer is selected at random from 1 to 100. The probability that it relatively prime to 100 is ?

  16. A.

    2/5

    B.

    61/100

    C.

    17/100

    D.

    19/100


  17.  n books are to be arranged on a self. These include m volumes of a science book (m < n). The probability that in any arrangement, the volumes of science books are in ascending order is ?

  18. A.

    1/ n!

    B.

    1/n-m!

    C.

    1/m!

    D.

    m!/n!


  19.  Seven white balls and three black ball are randomly placed in a row. The probability that no two black balls are placed adjacently equals ?

  20. A.

    1/2

    B.

    7/15

    C.

    2/15

    D.

    1/3