The game is simple: You pay $1, and I roll a fair six-sided die. If it comes up as 1, 2, 3 or 4, you win 1.67. Otherwise, you win .33. Will you play? Will you play repeatedly?
I screwed up the question. Please close this, and I’ll repost it.
2/3 of the time I’d come out .67 ahead, and 1/3 of the time I lose .67. So, on average, after any three given rolls, I should be up $.67.
I’d play repeatedly. Millions of times if it was allowed, or until I had slowly accumulated a fortune.
Aw. There goes my scheme.