Mathematics
Assertion (A) : In tossing two dice simultaneously, n(S) = 36, where S is sample space.
Reason (R) : If a die is tossed n times or n dice are tossed simultaneously, the number of all possible outcomes = 2n.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Probability
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Answer
On tossing two dice simultaneously.
Sample space (S) :
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
n(S) = 36.
∴ Assertion (A) is true.
If a die is tossed n times or n dice are tossed simultaneously, the number of all possible outcomes = 6n.
∴ Reason (R) is false.
Hence, Option 1 is the correct option.
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