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Bryn

probability with cards

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A man draws one card at random from a complete pack of 52 cards, replaces it and then draws another card at random from the pack.

 

Calculate the probibility that eaxactly one of the cards is a Queen.

 

I evaluated P(Q n Q') = 1/13 * 12/13 (they are independant events)

=12/169

 

The answer according to the book is 24/169 . Help!

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Just for the sake of showing the proof, either you get a queen first, or you get some other card then a queen. You just have to put the values in for the different probabilities.

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