Problems On Probability-3

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Problems On Probability-3 - Quiz

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Questions and Answers
  • 1. 

    What is the probability that a leap year has 53 Mondays and 52 Tuesdays?

    • A.

      0

    • B.

      1/7

    • C.

      2/7

    • D.

      5/7

    Correct Answer
    B. 1/7
  • 2. 

    11 registers are placed at random in a shelf. The probability that a pair of registers will always be together is ________.

    • A.

      1/10

    • B.

      9/10

    • C.

      2/11

    • D.

      3/10

    Correct Answer
    C. 2/11
  • 3. 

    The probability that A speaks truth is 7/9 and that of B speaking truth is 5/8. What is the probability that they agree in stating the same fact?

    • A.

      41/72

    • B.

      12/35

    • C.

      17/35

    • D.

      19/35

    Correct Answer
    A. 41/72
  • 4. 

    Out of 7 persons working on a project, 3 are post graduates.  If 2 are selected, what is the probability that there is at least one post graduate among them?

    • A.

      1/6

    • B.

      5/8

    • C.

      3/8

    • D.

      5/7

    Correct Answer
    D. 5/7
  • 5. 

    From a pack of cards two cards are drawn at same time. The probability that the two cards are of same colour is?

    • A.

      14/51

    • B.

      15/51

    • C.

      16/51

    • D.

      None of these

    Correct Answer
    D. None of these
  • 6. 

    In a pub there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at least two couples?

    • A.

      5/21

    • B.

      5/18

    • C.

      9/16

    • D.

      16/27

    Correct Answer
    A. 5/21
  • 7. 

    A card is drawn from a well shuffled pack of cards, the probability of drawing a diamond or a queen is ?

    • A.

      17/52

    • B.

      15/52

    • C.

      4/13

    • D.

      9/26

    Correct Answer
    C. 4/13
  • 8. 

    If three coins are tossed, the probability of getting two heads and one tail is?

    • A.

      5/8

    • B.

      3/8

    • C.

      1/4

    • D.

      3/4

    Correct Answer
    B. 3/8
  • 9. 

    If five person sit in a row, then the probability that two persons always sit together is__

    • A.

      2/5

    • B.

      3/5

    • C.

      4/5

    • D.

      1/5

    Correct Answer
    B. 3/5
  • 10. 

    A coin tossed thrice. What is the probability that there is at least one tail ?

    • A.

      1/8

    • B.

      7/8

    • C.

      3/8

    • D.

      5/8

    Correct Answer
    B. 7/8
  • 11. 

    Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

    • A.

      8/36

    • B.

      3/74

    • C.

      7/58

    • D.

      9/20

    Correct Answer
    D. 9/20
  • 12. 

    A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

    • A.

      10/21

    • B.

      11/21

    • C.

      7/89

    • D.

      5/93

    Correct Answer
    A. 10/21
  • 13. 

    In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

    • A.

      1/3

    • B.

      3/4

    • C.

      2/5

    • D.

      7/6

    Correct Answer
    A. 1/3
  • 14. 

    What is the probability of getting a sum 9 from two throws of a dice?

    • A.

      1/6

    • B.

      1/8

    • C.

      1/9

    • D.

      1/15

    Correct Answer
    C. 1/9
  • 15. 

    From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

    • A.

      1/15

    • B.

      25/57

    • C.

      35/256

    • D.

      1/221

    Correct Answer
    D. 1/221
  • 16. 

    Three unbiased coins are tossed. What is the probability of getting at most two heads?

    • A.

      3/4

    • B.

      1/4

    • C.

      3/8

    • D.

      7/8

    Correct Answer
    D. 7/8
  • 17. 

    Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

    • A.

      1/2

    • B.

      3/4

    • C.

      3/8

    • D.

      5/16

    Correct Answer
    B. 3/4
  • 18. 

    In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

    • A.

      21/46

    • B.

      25/117

    • C.

      1/50

    • D.

      3/25

    Correct Answer
    A. 21/46
  • 19. 

    In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

    • A.

      1/10

    • B.

      2/5

    • C.

      2/7

    • D.

      5/7

    Correct Answer
    C. 2/7
  • 20. 

    Two dice are tossed. The probability that the total score is a prime number is:

    • A.

      1/6

    • B.

      5/12

    • C.

      4/9

    • D.

      2/5

    Correct Answer
    B. 5/12

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Apr 13, 2016
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 13, 2016
    Quiz Created by
    Gowthu
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