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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.

  1. A is true, R is false.

  2. A is false, R is true.

  3. Both A and R are true.

  4. 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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