Startz
Muse
Okay, you guys both agree , it must be that 66 does beat the 1000 to 1 odds, so that will be the number required. We'll see what JREF says, RemieV didn't seem prepared to accept the 50/50 protocol.
One question, do your calculations show that 63 yields a probability less .01? Just curious as to whether I should trust those tables. That huge spread between 63 and 66 is counterintuitive.
Your intuition is pretty good, the table doesn't mean quite what you think it does. (I had to read the online explanation five times to understand the table.)
The probability of getting getting k or more right out of 100 is
k prob
63 0.0060
64 0.0033
65 0.0018
66 0.0009
The tables use the two-tailed probability rather than the one-tailed probability. For example, they are based on the probability of getting 63 or more or 37 or fewer. That's not Pavel's claim.
And, as you've said, Remie and others at JREF may not like this part of the protocol anyway.
as 6 of 9 it is easy.. everybody can do that..