Freeflows

Card Deck Probability

A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($ \spadesuit $, $ \heartsuit $, $ \diamondsuit $, and $ \clubsuit $), such that there is exactly one card for any given rank and suit. Two of the suits ($ \spadesuit $ and $ \clubsuit $) are black and the other two suits ($ \heartsuit $ and $ \diamondsuit $) are red. The deck is randomly arranged. What is the probability that the top card is a face card (a Jack, Queen, or King)?

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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