Home
Class 11
MATHS
Let x be set containing 10 elements and ...

Let x be set containing 10 elements and `p(x)` be its power set. If A and B are picked up at random from p(x),with replacement, then probability that A and B have equal number of elements, is

A

`(""^(20)C_(10))/(2^(10))`

B

`((2^(10)-1))/(2^(20))`

C

`((2^(10)-1))/(2^(10))`

D

`(""^(20)C_(10))/(2^(20))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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={1,2,-,10}, if set A and B are formed from elements of X the probability that n(A nn B)=2, 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

Let X be a set containing n elements.Two subsets A and B of X are chosen at random, the probability that A uu B=X 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.Then the probability that A nn B contains exactly 10 elements is