Question 843629: Drawing cards. IF two cards are drawn from a 52-card deck without replacement (that is, the first card is not replaced in the deck before the second card is drawn), in how many different ways is it possible to obtain a king on the first draw and a heart on the second? (Hint: split this event into the two disjoint components "king of hearts and then another heart" and "non-heart king and then heart". Use the fundamental counting principle on each component, the apply the additive principle.)
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
Hi,
IF two cards are drawn from a 52-card deck without replacement,in how many different ways is it possible to obtain a king on the first draw and a heart on the second
1st Card: K♥ (1 way) and 2nd Card: a remaining ♥ (12 ways) for a total of 12 ways
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1st Card: K♦, K♣, or K♠ (so 3 ways) and 2nd card: a ♥ (13 ways) for a total of 39 ways
12 + 39 = 51 WAYS
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