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This question contains an assertion followed by reason. Read them carefully and answer the questions on the basis of following options, select the one that best describes the two statements.

Assertion, a number $x$ is chosen at random from the numbers $− 3, − 2, − 1, 0, 1, 2, 3,$ then the probability that $| x | < 2$ is $47$ .

Reason, the probability that a number selected from the numbers $1, 2, 3, … …, 20$ is a multiple of 3 is $310$ .

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If both assertion and reason are correct and reason is the correct explanation of assertion.

If both assertion and reason are correct, but reason is not the correct explanation of assertion.

If the assertion is correct but the reason is incorrect.

If the assertion is incorrect but the reason is correct.

answer is D.

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Detailed Solution

Given, an assertion and a reason.
Assertion, a number

is chosen at random from the numbers

then the probability that

.
Reason, the probability that a number selected from the numbers

is a multiple of 3 is

.
The modulus of any positive or negative number is a positive number.
Total number of outcomes is 7.
The possible outcomes that satisfy the function is

− 1, 0, 1

. The total number of possible outcomes 3.
The required probability is,

P (A) = 37

Therefore, the assertion is wrong but the reason is correct.
Hence, the correct option is 4.

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