Home
Class 12
MATHS
Let S = {1, 2, 3, 4, 5, 6}. Then the pro...

Let `S = {1, 2, 3, 4, 5, 6}`. Then the probability that a randomly chosen onto function g from S to S satisfies `g(3) = 2g(1)` is :

A

`(1)/(15)`

B

`(1)/(5)`

C

`(1)/(30)`

D

`(1)/(10)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Let S={1,2,......,20} .A subset B of S is said to be nice ,if the sum of the elements of B is 204 . Then the probability that a randomly chosen subset of S is nice is (k)/(2^(18)) , where k is.

Let S={1,2,...,20}. A subset B of S is said to be 'nice', if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is 'nice' is: (a) 7/(2^20) (b) 5/(2^20) (c) 4/(2^20) (d) 6/(2^20)

Suppose two numbers a and b are chosen randomly from the set {1, 2, 3, 4, 5, 6}. The probability that function f(x) = x^3+ ax^2 + bx is strictly increasing function on R is:

Let S={1,2,3,4,.............10}. A subset B of S is said to be good if the product of the elements of B is odd, Then the probability that a randomly chosen subset of S is good is

Let A = {1, 2, 3, 4} and B = {a, b}. A function f : A to B is selected randomly. Probability that function is an onto function is

Let S be the set of all function from the set {1, 2, …, 10} to itself. One function is selected from S, the probability that the selected function is one-one onto is :

Consider three sets E_1 = {1, 2, 3}, F_1 = {1, 3, 4} and G_1 = {2, 3, 4, 5} . Two elements are chosen at random, without replacement, from the set E_1 , and let S_1 denote the set of these chosen elements. Let E_2 = E_1 − S_1 and F_2 = F_1 uu S_1 . Now two elements are chosen at random, without replacement, from the set F_2 and let S_2 denote the set of these chosen elements. Let G_2 = G_1 uu S_2 . Finally, two elements are chosen at random, without replacement, from the set G_2 and let S_3 denote the set of these chosen elements. Let E_3 = E_2 uu S_3 . Given that E_1= E_3 , let p be the conditional probability of the event S_1 = {1, 2} . Then the value of p is

S={1,2,3,....11} if 3 numbers are chosen at random from S, the probability for they are in G.P.