1(xiii)
Assertion (A): A die is thrown once and the probability of getting an even number is $\frac{2}{3}$.
Reason (R): The sample space for even numbers on a die is {2, 4, 6}
- (a)A is true, R is false.
- (b)A is false, R is true.
- (c)Both A and R are true.
- (d)Both A and R are false.
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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 = $\frac{3}{6} = \frac{1}{2}$.
∴ A is false and R is true.
Hence, Option 2 is the correct option.