Home
Class 12
MATHS
If the probability of choosing an intege...

If the probability of choosing an integer 'k' out of 2n integers 1, 2, 3, …, 2n is inversely proportional to `k^4(1lekle2n)`. If `alpha` is the probability that chosen number is odd and `beta` is the probability that chosen number is even, then (A) `alpha gt 1/2 ` (B) `alpha gt 2/3 ` (C) `beta lt 1/2 ` (D) `beta lt 2/3 `

A

`alphagt(1)/(2)`

B

`alphagt(2)/(3)`

C

`betale(1)/(2)`

D

`(betalt(2)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
(a,c)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|26 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Probability Exercise 1: Single Option Single Correct Type Question|1 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2 + 2alphabeta

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2

If alpha and beta are the roots of the equation ax^2 + bx +c =0 (a != 0; a, b,c being different), then (1+ alpha + alpha^2) (1+ beta+ beta^2) =

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to:

The numbers 1,2,3,.., n are arranged in a random order. The probability that the digits 1,2,3,..,k(n gt k) appears as neighbours in that order is

If alpha a n d beta are the roots of x^2-3x+2=0 find the value of (1+ alpha )(1+ beta ).

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alpha n in Z is equal to

If alpha and beta are the roots of x^2 - p (x+1) - c = 0 , then the value of (alpha^2 + 2alpha+1)/(alpha^2 +2 alpha + c) + (beta^2 + 2beta + 1)/(beta^2 + 2beta + c)

If x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta are the roots of 4 cos x -3 sec x =tan x , then 4(sin alpha + sin beta ) is