The integers x and y are chosen at rando...

The integers x and y are chosen at random with replacement from nine natural numbers 1,2,3,….8,9 find the probability that `(x^2-y^2)` is divisible by 2

Topper's Solved these Questions

PRINCIPLE OF MATHEMATICAL INDUCTION AND LINEAR INEQUATIONS
PATHFINDER|Exercise QUESTION BANK|14 Videos
PROGRESSION AND SERIES
PATHFINDER|Exercise QUESTION BANK|252 Videos

Similar Questions

Explore conceptually related problems

Two numbers x and y are chosen at random (without replacement) from among the numbers 1,2,3,...,2004. The probability that x^3+y^3 is divisible by 3 is (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/4

Two number a and b are chosen at random from the set of first 30 natural numbers. Find the probability that a^2-b^2 is divisible by 3.

If two numbers a and b are-chosen at random from the 1st 30 natural numbers, find the probability that the expresion (a^2 -b^2) is divisible by 3.

Two integers xa n dy are chosen with replacement out of the set {0,1,,2,3 ,.....10}dot Then find the probability that |x-y|> 5.

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

Two natural numbers x and y are chosen at random. What is the probability that x^(2) + y^(2) is divisible by 5?

Three numbers are chosen at random without replacement from {1,2,3, …8}. The probability that their minimum is 3, given that their maximum is 6, is-

A number is chosen at random from the first 11 natural numbers, then the probability that the chosen number is even, is -

A number is chosen at random from the first 50 positive integers. Find the probability that the chosen number is divisible by 4 or 5.

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is

PATHFINDER-PROBABILITY-QUESTION BANK

A,B and C are three mutually exclusive and exhaustive events and P(A) ...
Text Solution
|
If 3 unbiased coins are tossed simultaneously describe the sample spac...
Text Solution
|
The integers x and y are chosen at random with replacement from nine n...
Text Solution
|
Two unbiased coins are thrown together show that the events 1st coin s...
Text Solution
|
Show that two independent events with positive probabilities can't be ...
Text Solution
|
Two cards are drawn from a well shuffled pack of cards find the probab...
Text Solution
|
If P(A)=x,P(B)=y and P(Acap B)=z then express P(bar A cap bar B) and P...
Text Solution
|
Find the probability that the birthday of 7 persons will fall on 7 dif...
Text Solution
|
What is the probability that a number selected from the numbers 1,2,3…...
Text Solution
|
The number lock of a suitcase has 4 wheels each labeled with ten digit...
Text Solution
|
Find the probability that the birth days of six different persons will...
Text Solution
|
The letter of word SOCIETY are placed at random in a row what is the p...
Text Solution
|
What is the probability that a non leap year selected at random will c...
Text Solution
|
The odds in favour of an event are 3:5 find the probability of occurre...
Text Solution
|
An integer is chosen at random from the first 100 positive integers wh...
Text Solution
|
A secretary writes 4 letters and the corresponding address on 4 envelo...
Text Solution
|
Two unbiased dice are thrown find the probability of obtaining a tota...
Text Solution
|
Two unbiased dice are thrown find the probability of obtaining at le...
Text Solution
|
Three groups of children contain respectively 3 girls and 1 boy, 2 gir...
Text Solution
|
A speaks truth in 70% cases and his friend B speaks lie in 20% cases ....
Text Solution
|