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A number $x$ is chosen at random from the numbers $− 4, − 3, − 2, − 1, 0, 1, 2, 3, 4.$ What is the probability that $| x | < 2$ ?

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23

13

311

37

answer is B.

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Detailed Solution

Given, a number

x

is chosen at random from the numbers

− 4, − 3, − 2, − 1, 0, 1, 2, 3, 4.

The complement of a set 1 minus of the given set.
The number of possible outcomes is 9 the number of outcomes favourable to the given condition is -1, 0, 1.
The required probability,

P (A) = 39 = 13

Therefore, the required probability is

13

.
Hence, the correct option is 2

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