# Need math help: how many winning hands?

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### Question Description

In a card game, a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a “win”. If a standard 52-card deck is used, determine how many winning hands can be dealt.(A “face card” is a jack, queen, or king.)
 A. 48 B. 28 C. 20 D. 16 E. 40

alancheng
School: Cornell University

We have two cards, or two events that occur independently of each other, but occur together. We want to find out how many ways they can occur together.

There are 4 aces for one card.

There are 3 diamond card faces and 4 tens for the outcomes of the 2nd card.

4 ways times 7 ways = 28 different ways we can get the outcomes for a win.

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Anonymous
awesome work thanks

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