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Mathematics

If a fair die is rolled once, then the probability of getting an even number or a number greater than 4 is

  1. 12\dfrac{1}{2}

  2. 13\dfrac{1}{3}

  3. 56\dfrac{5}{6}

  4. 23\dfrac{2}{3}

Probability

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Answer

When a die is thrown the sample space is,

S = {1, 2, 3, 4, 5, 6}.

Let A be the event of getting an even number or a number greater than 4,

∴ A = {2, 4, 5, 6}.

Hence, the no. of favourable outcomes to A = 4.

∴ P(A) = 46=23.\dfrac{4}{6} = \dfrac{2}{3}.

Hence, Option 4 is the correct option.

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