The page on conditional probability calculates probabilities of drawing the short match. Among other things, there are several fraction divisions that go like this:
1/5 / 5/6 = 1/6
and
1/4 / 4/6 = 1/6

Though the outcomes seem to agree with the meaning of the probabilities calculated, the arithmetic does not.

Any thoughts?

http://www.cut-the-knot.org/Probability/ConditionalProbability.shtml

Thank you, Alexei.

I do not know what I was thinking. Rather obviously the probabilities have to be multiplied. I'll need to redo that part.

Thank you again

It's back up there.