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Q.

If a number $x$ is chosen at random from the numbers -2, -1,0,1,2. Then, the probability that $x 2 < 2$ is

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a

52

b

25

c

15

d

35

answer is D.

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Detailed Solution

Given, a number

is chosen at random from the numbers -2, -1,0,1,2.
The probability of an event to be occurred is the division of the number of favourable outcomes by the total number of outcomes that is,

Probability of an event = Number of favourable cases Total number of cases

The number x can take any one out of the five given values.
The total number of possible outcomes is 5.
It is seen that

x 2 < 2

.
So, the number x can take the values –1, 0 and 1.
Therefore, the number of favourable outcomes is 3.
Find the required value: by using the formula of probability that is,

Probability of an event = Number of favourable cases Total number of cases Probability = 35

Thus, the required probability that

x 2 < 2 is 35

.
Hence, the correct option is 4.

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