A face-down deck of cards contains five hearts, three diamonds, five clubs and four spades. what is the probability that the first two cards drawn will be diamonds followed by hearts?

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Answer 1 · 2016-11-07T00:44:24

Cards present in the deck

$"Hearts"->5$

$"Diamonds"->3$

$"Clubs"->5$

$"Spades"->4$

$"Total"->17$

The probability that the first card drawn is duamond will be $3/17$

Then the probability that the second card drawn out of remaining 16 cards is a heart will be $4/16=1/4$

So the probability that the first two cards drawn will be diamonds followed by hearts is

$=3/17xx1/4=3/68$