good morn-- oh look a vote on me
I didn't post yet because rollover is at 3 am for me, and I definitely am not going to squander sleep when I actually
can manage to sleep just to be up for rollover.
first of all, nice kill! ...because I find it extremely funny that's how they call it yet in this game it means the opposite.
extremely amused that the numbers were consecutive; even more so cause I was set to pass to 7 which falls in the order nicely (though I obviously did not get the ball).
now let's see...
each player has a 1/3 (33%) chance to bench themselves when passed the ball, provided they pass randomly. additionally, should the first player pass successfully (2/3 or 67% chance), the second player once again has a 1/3 chance to pass to maf, bringing us to 2/9 (22%) chance of second player passing to maf.
combined, that means 5/9 (56%) chance of either first or second player being benched by passing to maf, but these odds don't hold up if we pass to numbers that we know are safe.
one of the numbers we have (8,9,10) has a 4/11 (36%) chance of not being safe (4/11 because the other two are safe), which actually means 4/33 (12%) chance of benching yourself because the other two are 100% safe. (1/3 chance of picking the risky one if you rng between the three, and then 4/11 of passing to maf.)
the ones that actually have one of these numbers (assuming that they are town), actually have a slightly higher chance of benching themselves, 1/2*4/11, so 2/11 (18%) when passing.
I can't do the math for the third player spiking odds as I don't believe we know how many spikers there are, but those don't really change based on safe numbers - they're still relevant to know the risk of a "safe number player" benching themselves because they've been passed to, though.
tl;dr: the chances of us benching one of our own by passing to them is actually lower when passing to these "safe numbers", so it's a good idea to pass to them to buy us time to weed out the maf with lynches. (however, the chance of being benched for hitting the net remains and technically puts safe/cleared players at risk.)
I'll give entelechy the benefit of doubt at this point for now, but they're definitely on my observing list for trying to have us believe the opposite, which would only benefit the maf.
edit - realised I derped out a little and fixed two of the odds that are actually like 1% higher. and fixed phrasing a tiny bit.