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Mathematics

A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a black queen.

Probability

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Answer

Total number of possible outcomes = 52

Number of favourable outcomes (Getting a black queen) = 2

P(Getting a black queen) = Number of favourable outcomesTotal number of possible outcomes\dfrac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}

= 252\dfrac{2}{52}

= 126\dfrac{1}{26}

Hence, the probability of getting a black queen is 126\dfrac{1}{26}.

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