I work at a thrift store, and just today we put out this shirt for sale: https://i.ebayimg.com/images/g/uCYAAOSwuhNjQwX2/s-l1200.webp
Also checking for F (ante_left = 2) gives an expected number of spins as "infinity". I have no idea why.
I think it's because the game can jump from 3 (or 4) players left to 1 player left, making it impossible to eventually get to exactly 2 in that scenario. Since this has a non-zero probability, it makes the expected value infinity as well. (Contrast with the classic "flipping coins until you get a heads", which can also be infinite, but with a zero probability, so it doesn't "infinitize" the expected number of flips.)
I work at a thrift store, and just today we put out this shirt for sale: https://i.ebayimg.com/images/g/uCYAAOSwuhNjQwX2/s-l1200.webp
I think it's because the game can jump from 3 (or 4) players left to 1 player left, making it impossible to eventually get to exactly 2 in that scenario. Since this has a non-zero probability, it makes the expected value infinity as well. (Contrast with the classic "flipping coins until you get a heads", which can also be infinite, but with a zero probability, so it doesn't "infinitize" the expected number of flips.)