Two numbers b and c are chosen at random...

Two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that `x^2+bx+cgt0 for all xinR,` is

A

`(17)/(123)`

B

`(32)/(81)`

C

`(82)/(125)`

D

`(45)/(143)`

Text Solution

Verified by Experts

Topper's Solved these Questions

PROBABILITY
ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos
PROBABILITY
ARIHANT MATHS|Exercise Exercise For Session 2|15 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

Two numbers b and c are chosen at random with replacement from the numbers 1,2,3,4,5,6,7,8 and 9. The probability that x^(2)+bx+c>0 for all x in R is

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)

If a and b and c are 3 numbers not necessarily different chosen randomly and with replacement from the set {1,2,3,4,5}, then the probability that ab+c is even is

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:

Two numbers lambda, mu are chosen one after another at random (with replacement) from the set {a: 1le ale 10, a in N} . Find the probability that x^2 + lambdax + mu >0 for all x in R .

If a number x is chosen at random from the number -2, -1, 0, 1, 2. What is the probability that x^(2)lt2 ?

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)

Two numbers b and c are chosen at random with replacement from the num...
Text Solution
|
A person goes to office either by car, scooter, bus or train probabili...
Text Solution
|
A six faced fair die is thrown until 1 comes. Then , the probability t...
Text Solution
|
Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...
Text Solution
|
Three houses are available in a locality. Three persons apply for the ...
Text Solution
|
A randam variable X has Poisson's distribution with mean 2. Then , P(X...
Text Solution
|
There are n urns each containing (n+1) balls such that ith urn contain...
Text Solution
|
In a telephone enquiry system, the number of phone calls regarding rel...
Text Solution
|
One Indian and four American men and their wives are to be seated rand...
Text Solution
|
Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...
Text Solution
|
Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...
Text Solution
|
A pair of fair dice is thrown independently three times. The probab...
Text Solution
|
Two aeroplanes I and II bomb a target in succession. The probabilit...
Text Solution
|
An experiment has 10 equally likely outcomes. Let A and B be two non-e...
Text Solution
|
Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...
Text Solution
|
A die is thrown. Let A be the event that the number obtained is gre...
Text Solution
|
It is given that the events A and B are such that P(A)=(1)/(4),P((A)/(...
Text Solution
|
A fair die is tossed repeatedly until a six is obtained Let X denote t...
Text Solution
|
A fair die is tossed repeated until a six is obtained. Let X denote th...
Text Solution
|
A fair die is tossed repeatedly until a six obtained. Let X denote the...
Text Solution
|
In a binomial distribution B(n , p=1/4) , if the probability of at lea...
Text Solution
|