Home
Class 12
MATHS
Let X be a set containing n elements. If...

Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements is

A

`(.^2nC_n)/(2^n)`

B

`(1)/(.^2nC_n)`

C

`(1cdot3cdot5…(2n-1))/(2^ncdotn!)`

D

`(3^n)/(4^n)`

Text Solution

Verified by Experts

The correct Answer is:
(a,c)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|27 Videos
  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Probability Exercise 1: Single Option Single Correct Type Question|1 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

Similar Questions

Explore conceptually related problems

Let X be a set containing 3 elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements is k then 1/k is______.

Let X be a set containing n elements. Two subsets A and B of X are chosen at random, the probability that AuuB=X is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P and Q have equal number of elements, is

Two subsets A and B of a set containing n elements are chosen at random. The probability that A sube B is

The number of subsets of a set containing n elements is :

The number of subsets of a set containing n elements is

A is a set having n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of A. A subset Q of A is again chosen at random. Find the probability that P and Q have no common elements.

A subset A of the set X={1,2,3,..,100} is chosen at random. The set X is reconstructed by replacing the elements of A, and another subset B of X is chosen at random. The probability that A cap B contains exactly 10 elements, is

If two subsets A and B of set S containing n elements are selected at random, then the probabit AnnB=phi and AuuB=S is

Let A be a finite set containing n elements, then the number of relations on A is