1(x)
Assertion (A): If a die is rolled, the probability of getting a number greater than 6 is $\frac{1}{6}$.
Reason (R): There are six possible outcomes when rolling a die, {1, 2, 3, 4, 5, 6}.
- (a)(A) is true and (R) is false.
- (b)(A) is false and (R) is true.
- (c)Both (A) and (R) are true and (R) is the correct explanation of (A).
- (d)Both (A) and (R) are true but (R) is not the correct explanation of (A).
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When a die is rolled,
Total number of possible outcomes = 6
S = {1, 2, 3, 4, 5, 6}
Let E be the event of getting number greater than 6,
Number of favorable outcomes = 0
P(E) = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{0}{6} = 0$.
Assertion (A) is false.
There are six possible outcomes when a dice is rolled,
S = {1, 2, 3, 4, 5, 6}
Reason (R) is true.
(A) is false and (R) is true.
Hence, option 2 is the correct option.