Let's say I make six predictions or statements that I believe to be true about someone I've never met and I say the statements taken as a whole are true with P = 0.7. Note that I do not claim to be psychic.

The P of each statement must then lie between 0.7 and 1.0, and if they are equal then the P of each statement is 0.7 ^ (1/6) = 0.94. Let's say 0.9 because I doubt any statement about this type of probability should be reported with two significant figures, and perhaps even one significant figure without an attached tolerance band is a bit of a stretch.

I'd say that a P this high for each statement, given this example, is well nigh impossible.

Agreed?

Maybe I'm not so underqualified as to be unable to enjoy this forum.