Need math help: how many winning hands?

Mathematics
Tutor: None Selected Time limit: 1 Day

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.
B.
C.
D.
E.
Nov 15th, 2015

Thank you for the opportunity to help you with your question!

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.

Answer Choice B.) 28

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Nov 15th, 2015

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