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A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

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Question

A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

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Solution

There are 26 red cards including 2 red queens.

Two more queens along with 26 red cards will be 26 + 2 = 28

∴P(getting a red card or a queen) =`28/52`

∴ P(getting neither a red card nor a queen) = 1 - `28/52=24/52=6/13`

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2015-2016 (March) All India Set 1
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