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Five cards are drawn from a standard deck of cards and arranged in a row from left to right in the order

in which they are drawn. Determine the likelihood that an arrangement contains face cards only.

 Dec 10, 2021
 #1
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+1

Do aces count as face cards?

 Dec 11, 2021
 #3
avatar+2367 
+1

No; aces only becomes Faces by adding an “F”

GingerAle  Dec 11, 2021
 #4
avatar+117466 
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Good one Ginger :)

Melody  Dec 11, 2021
 #2
avatar+2367 
+1

Solution:

 

\(\text {52-card standard deck. }\\ \text {12 face cards}\\\)

 

\(\text {There are } \binom{52}{5}\text { ways to draw five cards.}\\ \text {There are }\binom{12}{5} \text { ways to draw five face cards.}\\ \, \Large P_{\small 5 \text { face cards}} = \dfrac {\binom{12}{5}}{\binom{52}{5}}= \dfrac {33}{108290} \approx 0.03047\%\)

 

GA

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 Dec 11, 2021

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