Counting Strategies Consider the following simplified chess game. White moves first (in accordance with the usual rules). Black observes White’s move and then makes its move. Then the game is over and...

Counting Strategies

Consider the following simplified chess game. White moves first (in accordance with the usual rules). Black observes White’s move and then makes its move. Then the game is over and ends in a draw. Determine the strategy sets of White and Black. How many strategies does Black have? [In case you do not know the rules of chess: the only information you need is that both players have 20 possible actions.]