[Solved]-Question 4 Consider Variant Chess Called Dice Chess Different Types Pieces Numbered 1 Pawn Q37250281

Question 4: Consider a variant of chess called dice chess, where the different types of pieces are numbered (1 for pawn, 2 for knight, 3 for bishop, 4 for rook, 5 for queen, 6 for king) and each player throws two dice to determine which pieces he/she can move. For example, if the dice show 2 and 5, the player can only move either a knight or the queen; if 1 and 4, he/she can only move a pawn or a rook. Note that a player who can move must do so while a player who cannot move skips his/her turn. The rules of chess remain exactly the same otherwise. (a) What can be said of the average branching factor of dice chess? Is it easier to play dice chess, as compared to chess? Explain. (2 marks) (b) Describe briefly how the game tree in dice chess differs from a plain Minimax game tree and how the algorithm must be modified. (2 marks) Show transcribed image text Question 4: Consider a variant of chess called dice chess, where the different types of pieces are numbered (1 for pawn, 2 for knight, 3 for bishop, 4 for rook, 5 for queen, 6 for king) and each player throws two dice to determine which pieces he/she can move. For example, if the dice show 2 and 5, the player can only move either a knight or the queen; if 1 and 4, he/she can only move a pawn or a rook. Note that a player who can move must do so while a player who cannot move skips his/her turn. The rules of chess remain exactly the same otherwise. (a) What can be said of the average branching factor of dice chess? Is it easier to play dice chess, as compared to chess? Explain. (2 marks) (b) Describe briefly how the game tree in dice chess differs from a plain Minimax game tree and how the algorithm must be modified. (2 marks)

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Answer to Question 4: Consider a variant of chess called dice chess, where the different types of pieces are numbered (1 for pawn,… . . .