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  • How many ways can you pick a face card, then a diamond from a standard deck of cards? Assuming you put the first card back?  Option: 1</

How many ways can you pick a face card, then a diamond from a standard deck of cards? Assuming you put the first card back?

 

Option: 1

153


Option: 2

156


Option: 3

120


Option: 4

180


Answers (1)

A standard deck contains 12 face cards, so there are 12 ways to choose one.

Because there are 13 diamonds in a standard deck, there are 13 ways to choose one.

We don't need to know whether the first card was a diamond or not, and we don't need to know whether the second card is a face card or not.

Therefore, the number of ways to pick a face card is \mathrm{12\times 13=156.} 

Posted by

Sumit Saini

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