A number is chosen at random from the numbers −4, −3, −2, −1, 0, 1, 2, 3, 4. What is the probability that the square of this number is less than or equal to 2?
$\Big(\dfrac{1}{2}\Big)$
$\Big(\dfrac{1}{3}\Big)$
$\Big(\dfrac{4}{9}\Big)$
$\Big(\dfrac{5}{9}\Big)$

Question

A number is chosen at random from the numbers −4, −3, −2, −1, 0, 1, 2, 3, 4. What is the probability that the square of this number is less than or equal to 2? 1. 2. 3. 4.

KnowledgeBoat · Accepted Answer

Sample space = {−4, −3, −2, −1, 0, 1, 2, 3, 4}

Total number of outcomes = 9

Let E be the event of choosing the number whose square is less than or equal to 2, then

E = {-1, 0, 1}

The number of favorable outcomes to the event E = 3

∴ P(E) = $\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{3}{9} = \dfrac{1}{3}$

Hence, option 2 is the correct option.

Mathematics

A number is chosen at random from the numbers −4, −3, −2, −1, 0, 1, 2, 3, 4. What is the probability that the square of this number is less than or equal to 2?
$\Big(\dfrac{1}{2}\Big)$
$\Big(\dfrac{1}{3}\Big)$
$\Big(\dfrac{4}{9}\Big)$
$\Big(\dfrac{5}{9}\Big)$

Probability

Answer

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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
$\Big(\dfrac{1}{2}\Big)$
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A letter of English alphabet is chosen at random. The probability that it is a letter of the word ENGINEERING is:
$\Big(\dfrac{5}{26}\Big)$
$\Big(\dfrac{3}{13}\Big)$
$\Big(\dfrac{11}{26}\Big)$
$\Big(\dfrac{6}{13}\Big)$

Mathematics

A number is chosen at random from the numbers −4, −3, −2, −1, 0, 1, 2, 3, 4. What is the probability that the square of this number is less than or equal to 2?(12)\Big(\dfrac{1}{2}\Big)(21​)(13)\Big(\dfrac{1}{3}\Big)(31​)(49)\Big(\dfrac{4}{9}\Big)(94​)(59)\Big(\dfrac{5}{9}\Big)(95​)

Probability

Answer

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A letter of English alphabet is chosen at random. The probability that it is a letter of the word ENGINEERING is:(526)\Big(\dfrac{5}{26}\Big)(265​)(313)\Big(\dfrac{3}{13}\Big)(133​)(1126)\Big(\dfrac{11}{26}\Big)(2611​)(613)\Big(\dfrac{6}{13}\Big)(136​)

A number is chosen at random from the numbers −4, −3, −2, −1, 0, 1, 2, 3, 4. What is the probability that the square of this number is less than or equal to 2?
$\Big(\dfrac{1}{2}\Big)$
$\Big(\dfrac{1}{3}\Big)$
$\Big(\dfrac{4}{9}\Big)$
$\Big(\dfrac{5}{9}\Big)$

A letter of English alphabet is chosen at random. The probability that it is a letter of the word ENGINEERING is:
$\Big(\dfrac{5}{26}\Big)$
$\Big(\dfrac{3}{13}\Big)$
$\Big(\dfrac{11}{26}\Big)$
$\Big(\dfrac{6}{13}\Big)$