Assertion (A): A die is thrown once and the probability of getting an even number is $\dfrac{2}{3}$ .
Reason (R): The sample space for even numbers on a die is {2, 4, 6}
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.

Question

Assertion (A): A die is thrown once and the probability of getting an even number is $\dfrac{2}{3}$ .

Reason (R): The sample space for even numbers on a die is {2, 4, 6}

KnowledgeBoat · Accepted Answer

Sample space when a die is thrown = {1, 2, 3, 4, 5, 6}.

Sample space for even numbers = {2, 4, 6}

Probability of getting an even number = $\dfrac{3}{6} = \dfrac{1}{2}$ .

∴ A is false and R is true.

Hence, Option 4 is the correct option.

Mathematics