Question

In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given:

Assertion: The probability of winning a match by Sachin is `1/3`. The probability that he does not win will be `2/3`.

Reason: Probability of an event cannot be negative.

Options

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

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

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

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

Answer 1

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

Explanation:

A is true because P(not win) = 1 – P(win) = `1 - 1/3` = `2/3` complement rule. 

R is also true since probabilities cannot be negative, but that fact does not explain why the complement is `2/3` the complement rule does.