A game of Blackjack is played, with only the cards A,2,3,4,5,K used. A King counts as 5, and the ace counts as 1 or 6. We play up to 11, rather than 21, and the dealer must stick on a 9, 10 or 11. Dealer plays with one card shown, one card face down as normal.
On a draw, money is returned to you. If you win, you get £2 (on a £1 bet). Determine optimal betting strategy.
This is a tricky question, and I can't think of a way to easily determine the optimal move (stick or twist) given an initial condition of a single card for the dealer, and two cards for the player, other than by manually calculating probabilities