Home
Class 12
MATHS
Two integers x and y are chosen one by o...

Two integers x and y are chosen one by one with replacement from 1, 2, 3, 4, 5,…., 10. Find the probability that `0 lt |x"- "y| lt 5`.

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(5)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two integers x and y are chosen one by one with replacement from 0, 1, 2,…,100. Find the probability that |x - y| le 3 .

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

Two numbers x and y are chosen at random without replacement from the numbers 1, 2, 3,…, 3n. Find the probability that x^(3) + y^(3) is divisible by 3.

Two integers x and y are chosen one by one with replacement at random from the set {x =0 le x le 10 and x is an integer}. Find the probability that |x-y| le 5 .

If p and q are chosen randomly from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} with replacement. Find the probability that the roots of the equation x^(2) + px + q = 0 are real.

If p and q are chosen randomly from the set {1, 2, 3, 4, 5} with replacement. Find the probability that the roots of the equation x^(2) + px + q = 0 are equal.

If p and q are chosen at random from the set {1,2,3,4,5,6,7,8,9,10} with replacement. Find the probability that the roots of x^(2)+px+q=0 are imaginary.