Home
Class 10
MATHS
If a number x is chosen at random from t...

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

Text Solution

AI Generated Solution

To solve the problem, we need to find the probability that \( x^2 < 2 \) when \( x \) is chosen from the set of numbers \(-2, -1, 0, 1, 2\). ### Step-by-Step Solution: 1. **Identify the Sample Space**: The numbers from which \( x \) can be chosen are: \[ S = \{-2, -1, 0, 1, 2\} ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT /exemplar|10 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|29 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos
  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos

Similar Questions

Explore conceptually related problems

If a number x is chosen at random from the numbers -2,\ -1,\ 0,\ 1,\ 2 . What is the probability that x^2<2 ?

A number x is chosen at random from the numbers -3,\ -2,\ -1,\ 0,\ 1,\ 2,\ 3 the probability that |x|<2 is 5/7 (b) 2/7 (c) 3/7 (d) 1/7

A number is chosen at random from the numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 . Then the probability that square of this number is less than or equal to 1 is _____________ .

If x represents a number picked at random from the set {-3, -2, -1, 0, 1, 2} , what is the probability that x will satisfy the inequality 4-3xlt6 ?

An integer is chosen at random from the numbers ranging from 1 to 50. What is the probability that the integer chosen is a multiple of 2 or 3 or 10?

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 from the set {1,2,3,4,...3n} . find the probability that x^2-y^2 is divisible by 3.

A number x is selected at random from the numbers 1, 4, 9, 16 and another number y is selected random from the numbers 1, 2, 3, 4. Find the probability that the value of xy is more than 16.

A natural number is chosen at random from amongst first 500. What is the probability that the number so chosen is divisible by 3 or 5?

A natural number is chosen at random from the first 100 natural numbers. The probability that x+(100)/x > 50 is 1//10 b. 11//50 c. 11//20 d. none of these