Question

Assertion (A): The probability of selecting a number at random from the numbers 1 to 20 is 1.

Reason (R): For any event E, if P(E) = 1, then E is called a sure event.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Assertion (A) is false, but Reason (R) is true.

Explanation:

• Assertion (A) is incorrect because the probability of selecting a number at random from 1 to 20 is not necessarily 1.

  • If the event is "selecting any number from 1 to 20," then probability = 1 (since one number must be chosen).
  • However, if we are selecting a specific number (e.g., selecting 5), then the probability is `1/20`, not 1.

• Reason (R) is correct because a probability of 1 means a sure event, which is always true in probability theory.

Thus, Assertion (A) is false, but Reason (R) is true.