Ask a Question

Two natural numbers r, s are drawn one at a time, without replacement from the set S= {1, 2, 3, ...., n}. Find P [r ≤ p|s ≤ p], where p ∈ S.

in Education by
Two natural numbers r, s are drawn one at a time, without replacement from the set S= {1, 2, 3, ...., n}. Find P [r ≤ p|s ≤ p], where p ∈ S. Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Given, S = {1, 2, 3, …, n} So, P(r ≤ p/s ≤ p) = P(P ⋂ S)/ P(S) = p – 1/n x n/(n – 1) = (p – 1)/(n – 1) Therefore, the required probability is (p – 1)/(n – 1).

Related questions

0 votes
Q: Two numbers are selected randomly from the set `S={1,2,3,4,5,6}` without replacement one by one. The probability that minimum of the two numbers is le
    Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that ... 1 5 D. 4 5 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: There are 5 cards numbered 1 to 5, one number on one card. Two cards are drawn at random without replacement.
    There are 5 cards numbered 1 to 5, one number on one card. Two cards are drawn at random without replacement. ... and variance of X. Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement.
    A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without ... 1/28 D. 167/168 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Two natural numbers x and y are chosen at random from the set `{1,2,3,4,...3n}`. find the probability that `x^2-y^2` is divisible by 3.
    Two natural numbers x and y are chosen at random from the set {1,2,3,4,...3n}. find the probability that x2-y2 is ... D. 3n-1 2(5n-3) Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is
    A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting ... /56 D. 15/29 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement.
    A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement. What is ... marble is red? Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Two balls are drawn from an urn containing 2 white; 3 red and 4 black balls one by one without replacement. What is the probability that at least one
    Two balls are drawn from an urn containing 2 white; 3 red and 4 black balls one by one without replacement. What is the ... 2 3 D. 5 8 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability that exactly
    A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability that exactly ... /28 D. 5/28 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Two cards are drawn successively without replacement from a well shuffled deck of cards.
    Two cards are drawn successively without replacement from a well shuffled deck of cards. Find the mean and standard ... of aces. Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: 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.`
    Two integers xandy are chosen with replacement out of the set {0,1,,2,3,10} . Then find the probability that |x-y ... 25 121 D. 20 121 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A bag contains 10 white and 15 black balls. Two balls are drawn in succession without replacement.
    A bag contains 10 white and 15 black balls. Two balls are drawn in succession without replacement. What is the ... second is black? Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested,
    A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested, the ... 14 D. 3/28 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Two integers are selected at random from integers 1 through 11. If the sum is even, find the probability that both numbers are odd.
    Two integers are selected at random from integers 1 through 11. If the sum is even, find the probability that both numbers are odd. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: Two numbers are selected at random from the integer 1 through 9. If the sum is even, find the probability that both numbers are odd.
    Two numbers are selected at random from the integer 1 through 9. If the sum is even, find the probability that ... d) None of these Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...