When both White and Black cannot win in a game, the result is a Draw.
There are 6 ways in which a game can become a Draw.
1. Insufficient Material - When both White and Black cannot checkmate each other. Example - K vs K, K+B vs K, K+N vs K 2. Stalemate - No check - No other possible move 3. Perpetual Check - Continous checks - No Checkmate 4. 3 Times Repetition - If any position is repeated 3 times continously (photographic repetition), a Draw can be claimed. 5. 50 Move Rule - Set of 50 moves (1 white move + 1 black move = 1 move) does not have any Pawn moves and does not have any captures, a Draw can be claimed. 6. Mutual Agreement - Both players agree to a Draw. Details on Wiki & ChessInvasion
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