Mathematics
Assertion (A): A die is thrown once and the probability of getting an even number is .
Reason (R): The sample space for even number on a die is {2, 4, 6}.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Probability
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Answer
On the faces of a die, numbers are 1, 2, 3, 4, 5 and 6. Out of which 2, 4 and 6 are even numbers.
So, the sample space for even number on a die = {2, 4, 6}
∴ Reason (R) is true.
Number of favourable outcomes = 3 (for getting even numbers)
The total number of possible outcomes = 6
P(getting a even number) = .
∴ Assertion (A) is false.
∴ Assertion (A) is false, but Reason (R) is true.
Hence, option 2 is the correct option.
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Related Questions
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Reason (R): In a throw of two fare coin, the sample space is HH, HT, TH, TT.
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