Robb's 3000th Post

[MadMojoMonkey]

• Flush (no straight flushes) = (3c1 * 13c5 - 30) / 39c5 = 5118 / 575757 ~ .89% (standard deck is .20%)

Found a typo in the 3-suit frequencies: the formula is correct, but the result should be 0.67%

Also: Is the numerator for the straight flush eq's based on:
10c1 * [n]c1
where [n] is the number of suits, or are there missing terms (all of which are 1, so moot)?

[Robb]

Found a typo in the 3-suit frequencies: the formula is correct, but the result should be 0.67%

Also: Is the numerator for the straight flush eq's based on:
10c1 * [n]c1
where [n] is the number of suits, or are there missing terms (all of which are 1, so moot)?

You are exactly right. Another way to do it is simply to count them since they're so few. There are 10 possible straights, 5-high through A-high, and there is one of each variety in each suit, so 10 * [n] is the correct number.

Either way, you're right.