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.

Guest Dec 10, 2021

#2**+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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GingerAle Dec 11, 2021