No, the numbers come from holdem, where you choose 5 cards out 7. Here's the table:
<font class="small">Code:</font><hr /><pre>
hand number Probability
straight flush 41,584 .00031
4-of-a-kind 224,848 .0017
full house 3,473,184 .026
flush 4,047,644 .030
straight 6,180,020 .046
3-of-a-kind 6,461,620 .048
two pairs 31,433,400 .235
pair 58,627,800 .438
high card 23,294,460 .174
</pre><hr />
Note there are far more high card numbers than any others, the number above is the number of high card hands left after selecting a 5 card hand of pairs and two pairs (which also make high card hands).

See http://www.math.sfu.ca/~alspach/comp20/ for the math.