Yes, it is the mathematical statement of certain events. Please excuse the vulgarity. I needed clear verbs; I tried to use symbols, but the graphical logic as I manipulated them became unclear, and I’m sure mathematicians have correct ones which they will use here.

FTR, and for my friends here in SD and posters unknown: As in many of my previous posts, most recently regarding escalator physics, an old/new scientific/mathematical subject has surfaced as interesting in my mind following a quotidian experience. Here, the permutations of actions, for one thing. The additional issue I would welcome being taught by being shown here, however briefly, is something which I believe I should understand when I read certain medical documents: linking the permutations to the likelihood of fuzzy data (as far the individual is concerned), *where* those links are best put for me to understand the odds of having a particular disease (or whatever) given certain discrete non-fuzzy data.

It sounds jokey, but I am serious as to trying to a) re-understand the elementary math, b) to see how to think about more complicated (for me) cases, again, as pleasure in math, and c) here, as opposed to the escalators, to become a little more numerate when reading/pondering statistical evidence in occasional experiences in real life. Eg, when my wife had some (eventually shown to be-) minor heart problems, I was in wretched hell with epidemiology and mortality statistics. But again, linking statistical data seems to me the second type of question in my OP.

I:

Gonorrhea and chlamydia, each, can present as genital, anal, or pharyngeal. Let us assume only one at a time.

He has genital gonorrhea or genital chlamydia, transmitted by a recent evening with a woman.

Each mode disease can be transmitted by any of those three areas.

She may or may not be symptomatic.

Doctor said “oral sex.” Non genital interaction-to-genital. Exclude anal intromission of penis.

- She blew him
- He went down on her
- She rimmed him
- He rimmed her.

II:

They had genital-to-genital sex, including anal, with a condom.

The condom may have broken.

III:

Both set-up I and II above.

IV:

Perhaps there are stats on the likelihood of rates of transmission and condom breakage.