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Mathematics

If a card is drawn from a well-shuffled pack of 52 playing cards, then the probability of this card being a king or jack is

  1. 126\dfrac{1}{26}

  2. 113\dfrac{1}{13}

  3. 213\dfrac{2}{13}

  4. 413\dfrac{4}{13}

Probability

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Answer

Well-shuffling ensures equally likely outcomes.

Total number of outcomes = 52.

There are 4 kings and 4 jacks i.e. total 8 kings and jacks.

∴ The number of favourable outcomes to event 'being a king or jack' is = 8.

∴ P(a king or jack) = 852=213.\dfrac{8}{52} = \dfrac{2}{13}.

Hence, Option 3 is the correct option.

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