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#