Probability CBSE Questions & Answers

Probability

This is Mathematics Class 11 Probability CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Probability of getting a number between 1 and 100, which is divisible by 1 and itself only, is
  • A
    25/ 99
  • B
    none of these
  • C
    25/ 98
    Correct
  • D
    1/ 4
2
Two players toss four coins each. The probability that both obtain the same number of heads is
  • A
    35/ 128
    Correct
  • B
    1/ 16
  • C
    5/ 256
  • D
    none of these
3
Three fair dice are tossed once. The probability that they show the numbers that are in A.P. is
  • A
    1/ 18
  • B
    7/ 36
    Correct
  • C
    1/ 12
  • D
    1/ 36
4
A cubical dice has 3 on three faces , 2 on two faces and 1 on the 6 \(^{{\rm{th}}}\) face .It is tossed twice . The chance that both the tosses show an even number is
  • A
    1/ 9
    Correct
  • B
    1/ 36
  • C
    none of these
  • D
    1/ 4
5
A coin is tossed once. If a head comes up , then it is tossed again and if a tail comes up , a dice is thrown . The number of points in the sample space of experiment is
  • A
    24
  • B
    8
    Correct
  • C
    4
  • D
    12
6
A drawer contains 5 black socks and 4 blue socks well mixed. A person searches the drawer and pulls out 2 socks at random . The probability that they match is
  • A
    5/ 8
  • B
    41/ 81
  • C
    5/ 9
  • D
    4/ 9
    Correct
7
A bag contains 5 white, 7 red and 4 black balls. Four balls are drawn one by one with replacement. The chance that atleast two balls are black is
  • A
    54/ 256
  • B
    67/ 256
    Correct
  • C
    243/ 256
  • D
    none of these
8
A and B take turn in throwing a pair of dice. A wins if he throws a total of 5 before B throws a total of 7. If A has the first throw, the probability of his winning the game is
  • A
    4/ 7
  • B
    3/ 7
    Correct
  • C
    9/ 41
  • D
    9/ 11
9
A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the value of the determinant chosen is positive is
  • A
    2/ 16
  • B
    3/ 16
    Correct
  • C
    1/ 4
  • D
    1/ 16
10
If the letters of the word ‘ INDEPENDENCE ‘ are written down at random in a row , then the chance that no two E’s occur together is
  • A
    1/ 55
  • B
    none of these
  • C
    54/ 55
  • D
    14/ 55
    Correct
11
The letters of the word ‘ASSASSIN ‘ are written at random in a row. The chance that all the similar letters occur together is
  • A
    1/ 14
  • B
    34/ 35
  • C
    1/ 35
    Correct
  • D
    none of these
12
A person throws successively with a pair of dice. The chance that he throws 9 before he throws 7 is
  • A
    2/ 5
    Correct
  • B
    2/ 45
  • C
    1/ 9
  • D
    1/ 81
13
Let A be set of 4 elements. From the set of all functions from A to A, a function is chosen at random. The chance that the selected function is an onto function is
  • A
    3/ 32
    Correct
  • B
    29/ 32
  • C
    none of these
  • D
    1/ 64
14
Both A and B throw a dice. The chance that B throws a number higher than that thrown by A is
  • A
    1/ 2
  • B
    15/ 36
    Correct
  • C
    21/ 36
  • D
    none of these
15
Both A and B throw a dice. The chance that B throws a number not less than that thrown by A is
  • A
    none of these
  • B
    21/ 36
    Correct
  • C
    1/ 2
  • D
    15/ 36