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Contains 9 balls, the other contains 4 balls. In this game, the players are supposed to take alternate turns of picking up balls according to the following rules: (a) Pick up as many balls as you want to from (b) Pick up an equal number of balls from both boxes. (if you pick from both boxes). The person who picks up the last ball wins the game. In his/her turn it is mandatory to pick up at least one ball. A has to play first. What should he do to ensure a win?
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Contains 9 balls, the other contains 4 balls. In this game, the player...
How to Win the Ball Game


Understanding the Game

The ball game involves two boxes, one containing 9 balls and the other containing 4 balls. The players take turns picking up balls according to the following rules:


  • Pick up as many balls as you want to from one box.

  • Pick up an equal number of balls from both boxes (if you pick from both boxes).

  • Mandatory to pick up at least one ball on each turn.

  • The person who picks up the last ball wins the game.



Strategy to Win

In order to ensure a win, player A should follow the following strategy:


  • Step 1: On the first move, pick up 4 balls from the box with 9 balls. This will leave 5 balls in that box and 4 balls in the other box.

  • Step 2: On the second move, pick up 1 ball from the box with 4 balls. This will leave 3 balls in that box and 5 balls in the other box.

  • Step 3: On the third move, pick up 2 balls from the box with 5 balls. This will leave 3 balls in both boxes.

  • Step 4: On each subsequent move, repeat step 3, picking up 2 balls from the box with more balls to ensure that both boxes remain equal.

  • Step 5: On the final move, player A will be left with two balls to pick up, ensuring a win.



Explanation

The key to winning this game is to ensure that both boxes have an equal number of balls. By following the above strategy, player A can guarantee this outcome on each move. Eventually, player A will be left with the last two balls, guaranteeing a win.
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Contains 9 balls, the other contains 4 balls. In this game, the players are supposed to take alternate turns of picking up balls according to the following rules: (a) Pick up as many balls as you want to from (b) Pick up an equal number of balls from both boxes. (if you pick from both boxes). The person who picks up the last ball wins the game. In his/her turn it is mandatory to pick up at least one ball. A has to play first. What should he do to ensure a win? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Contains 9 balls, the other contains 4 balls. In this game, the players are supposed to take alternate turns of picking up balls according to the following rules: (a) Pick up as many balls as you want to from (b) Pick up an equal number of balls from both boxes. (if you pick from both boxes). The person who picks up the last ball wins the game. In his/her turn it is mandatory to pick up at least one ball. A has to play first. What should he do to ensure a win? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Contains 9 balls, the other contains 4 balls. In this game, the players are supposed to take alternate turns of picking up balls according to the following rules: (a) Pick up as many balls as you want to from (b) Pick up an equal number of balls from both boxes. (if you pick from both boxes). The person who picks up the last ball wins the game. In his/her turn it is mandatory to pick up at least one ball. A has to play first. What should he do to ensure a win?.
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