Math 221 Counting Worksheet: Poker Hands A standard 52-card ...
Math 221 Counting Worksheet: Poker Hands A standard 52-card ...
Math 221 Counting Worksheet: Poker Hands A standard 52-card ...
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<strong>Math</strong> <strong>221</strong> <strong>Counting</strong> <strong>Worksheet</strong>: <strong>Poker</strong> <strong>Hands</strong><br />
A <strong>standard</strong> <strong>52</strong>-<strong>card</strong> deck consists of 13 <strong>card</strong>s from each of 4 suits (spades, hearts,<br />
diamonds, clubs). The 13 <strong>card</strong>s have value 2 through 10, jack (J), queen (Q), king (K), or<br />
ace (A). Each value is a “kind” of <strong>card</strong>. The jack, queen, and king are called “face<br />
<strong>card</strong>s”.<br />
How many 5-<strong>card</strong> poker hands are there?<br />
How many contain a royal flush (10, J, Q, K, A all of the same suit)?<br />
How many contain a straight flush (5 consecutive <strong>card</strong>s of the same suit)?<br />
Do not include royal flushes in your count.<br />
Note: For a straight, aces can be either high or low, e.g. A-2-3-4-5 and 10-J-Q-K-A are<br />
valid straights but J-Q-K-A-2 is not.<br />
How many contain four of a kind?<br />
How many contain a full house (three of a kind plus a pair)?<br />
How many contain a flush (5 <strong>card</strong>s of the same suit)? Do not include straight flushes or<br />
royal flushes in your count.<br />
How many contain a straight (5 consecutive <strong>card</strong>s)? Do not include straight flushes or<br />
royal flushes in your count.
How many contain three of a kind (the other two <strong>card</strong>s are not a pair)?<br />
How many contain two pairs (the two pairs must be of different “kinds”)?<br />
How many contain exactly one pair?<br />
How many contain just “high <strong>card</strong>” (none of the above)?