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BOARD Central Board of Secondary Education

Class 12
SUBJECT Mathematics

MCQ Test

13. Probability

Study Mode: Total Questions:

35
  • Q:1

    If there are 'n' possible outcomes associated with a random experiment and 'm' of them are favorable to an event A, then the probability of event A is defined as

  • A

  • B

  • C

    n x m

  • D

  • Q:2

    When two coins are tossed the sample space is

  • A

    {H, T}

  • B

    {HH, HT, TH, TT}

  • C

    {HT, TH}

  • D

    {HH, TT}

  • Q:3

    In the throw of a die, what is the probability of getting a number less than 1?

  • A

    1

  • B

    0

  • C

  • D

  • Q:4

    In the throw of a die, the probability of getting a number less than 7 is

  • A

    0

  • B

  • C

    1

  • D

  • Q:5

    Six dice are thrown simultaneously. The probability that all of them show the same face is

  • A

  • B

  • C

  • D

  • Q:6

    Six dice are thrown simultaneously. The probability that all of them show different faces is

  • A

  • B

  • C

  • D

  • Q:7

    Three numbers have been chosen from 1 to 30. The probability that they are consecutive is

  • A

  • B

  • C

  • D

  • Q:8

    A die is tossed twice. The probability of getting a number greater than 3 in each toss is

  • A

  • B

  • C

  • D

  • Q:9

    A four digit number is formed, using the digits 2, 3, 4 and 5 with no repetitions. The probability that the number is divisible by 5 is

  • A

  • B

  • C

  • D

  • Q:10

    If two coins are tossed, then probability of getting both tails is

  • A

  • B

  • C

  • D

    1

  • Q:11

    The probability that a leap year, selected at random, will contain 53 Mondays is

  • A

  • B

  • C

  • D

    1

  • Q:12

    Consider a pack of cards. A card is drawn at random out of this pack. The probability of drawing a king of black color is:

  • A

  • B

  • C

  • D

  • Q:13

    Given that E and F are such that P(E) = 0.6 , P(F) = 0.3 and P(E⋂F) = 0.2 , Then P(E/F) is.

  • A

  • B

  • C

  • D

  • Q:14

    Given that E and F are such that P(E) = 0.6 , P(F) = 0.3 and P(E⋂F) = 0.2 , Then P(F/E) is.

  • A

  • B

  • C

  • D

  • Q:15

    Q:15

  • A

  • B

  • C

  • D

  • Q:16

    Two coins are tossed together.
    E: Tail appears on exactly one coin
    F: Head appears on exactly one coin
    Then P(E/F) is

  • A

    0

  • B

  • C

  • D

    1

  • Q:17

    In the previous question, if
    E: no tail appears
    F: no head appears. Then P(E/F) =

  • A

  • B

  • C

  • D

    1

  • Q:18

    Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn at random. If it is known that the number on the card drawn is more than 3, then the probability that it is an even number is:

  • A

  • B

  • C

  • D

    0

  • Q:19

    A card is drawn from a well shuffled pack of 52 cards. Event E: Card drawn is a king or queen, F: Card drawn is a queen or an ace. Then the probability P (E/F) is

  • A

    0

  • B

    1

  • C

  • D

  • Q:20

    Consider the experiment of throwing a die, if a multiple of 3 comes up, and if any other number turns up, then toss a coin. The conditional probability of the event "the coin shows a tail" given that at least one dice shows a 3 is

  • A

    0

  • B

    1

  • C

  • D

  • Q:21

    Q:21

  • A

  • B

  • C

  • D

  • Q:22

    Q:22

  • A

  • B

  • C

  • D

  • Q:23

    Q:23

  • A

  • B

  • C

  • D

  • Q:24

    Q:24

  • A

  • B

  • C

  • D

  • Q:25

    If A and B are two independent events, then P(A⋃B) is

  • A

    P(A).P(B)

  • B

  • C

  • D

  • Q:26

    Q:26

  • A

  • B

  • C

  • D

  • Q:27

    In answering a question on a multiple choice test, a student either knows the answer or guesses it. Let ¾ be the probability that he knows the answer and ¼ be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability ¼, then the probability that a student knows the answer given that he answered it correctly is

  • A

  • B

  • C

  • D

  • Q:28

    A man is known to speak the truth 3 out of 4 times. He throws a die and reports that it is a 6. The probability that it is actually a six is.

  • A

  • B

  • C

  • D

  • Q:29

    Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3......... 10} then the probability that |X - 5| > 5 is

  • A

  • B

  • C

  • D

  • Q:30

    A committee of 5 persons is to be chosen from a group of 9 people. The probability that a certain married couple will either be selected together or not at all is

  • A

  • B

  • C

  • D

  • Q:31

    7 white balls of one kind and 3 black balls of another kind are placed in a row at random. The probability that no two black balls are adjacent to each other is

  • A

  • B

  • C

  • D

  • Q:32

    The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is

  • A

    1

  • B

    2

  • C

    5

  • D

  • Q:33

    A pair of dice is thrown 4 times. If 'getting a doublet' is considered a success, then the probability of two successes is

  • A

  • B

  • C

  • D

  • Q:34

    Three identical dice are rolled. The probability that same number appears on them is

  • A

  • B

  • C

  • D

  • Q:35

    Three identical dice are thrown together. The probability that distinct numbers appear on them is

  • A

  • B

  • C

  • D