A free spin game accumulates symbols to win a prize. An offer is made for the player to purchase additional “free spins” if the game is within a designated threshold number of accumulated symbols for winning a free prize. That is, the player can purchase more spins if they have almost achieved a prize. These re-spins are offered to the player at a price based on expected values of all possible prizes that could be achieved in the re-spin.
Accumulation game offering respins for additional wagers