Mathematics
deisyvega1113
22

You find a deck of cards and know that the deck has too many clubs and spades in it. The deck has 59 cards. If you were to draw two cards without replacement, the probability of drawing a diamond and a club is 117 1711 . How many extra spades are in the deck?

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(1) Answers
Winkey180

Suppose there are x number of clubs in the pack  P( draw a diamond) = 13 / 59  P( draw a club) = x / 58  so P( diamond then a club) = 13x / (58*59)  = 13x / 3422 so we have the equattion  117 / 1711 = 13x / 3422  234 / 3422 = 13x / 3422 therefore   x = 234 / 13 =  18 clubs :- that is 5 more clubs than  in a normal pack  So the number of extra spades  = 59 - 52 - 5 =  2

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