Suppose there are two standard 52-card decks of playing cards (meaning there are four suits - spades, clubs, diamonds, hearts, and there are 13 cards of each suit - numbers 2 through 10, jack, queen, king, ace. Face cards refer to jack, queen, and king), one with red backs and the other with blue. Suppose you randomly draw one card from each deck, and call these two cards together a hand. (a) How many hands consist of a pair of aces? (b) How many hands contain only face cards? (c) How many hands contain at least one king?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose there are two standard 52-card decks of playing cards (meaning there are four suits - spades,
clubs, diamonds, hearts, and there are 13 cards of each suit - numbers 2 through 10, jack, queen,
king, ace. Face cards refer to jack, queen, and king), one with red backs and the other with blue.
Suppose you randomly draw one card from each deck, and call these two cards together a hand.
(a) How many hands consist of a pair of aces?
(b) How many hands contain only face cards?
(c) How many hands contain at least one king?

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