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Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.
Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.
(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. has to play first. What should he do to ensure a win?
Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.
(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. has to play first. What should he do to ensure a win?
Most Upvoted Answer
Let us now consider another question, which is a classic case of compl...
Game Overview
In this strategic game between players A and B, the goal is to ensure that one player can always force a win through logical moves. Player A starts with two boxes: one containing 9 balls and the other containing 4 balls.
Winning Strategy for Player A
To guarantee a win, Player A should adopt the following approach:
Initial Move
- Player A should take 4 balls from the box containing 9 balls.
- This leaves the boxes with the following configuration:
- Box 1: 5 balls (9 - 4)
- Box 2: 4 balls
Key Position Analysis
- After Player A’s move, the total configuration is (5, 4).
- This setup is crucial because it forces Player B into a position where any move made will give Player A a winning response.
Player B's Possible Moves
- If Player B:
- Takes 1 ball from Box 1: (4, 4)
- Takes 2 balls from Box 1: (3, 4)
- Takes 3 balls from Box 1: (2, 4)
- Takes 4 balls from Box 1: (1, 4)
- Takes 5 balls from Box 1: (0, 4)
Player A can always mirror or adjust his strategy to maintain control and eventually force Player B into a losing configuration.
Conclusion
By starting with the move of taking 4 balls from Box 1, Player A sets the stage for a guaranteed win as Player B is left with limited options that can be countered effectively. Thus, Player A can ensure victory by maintaining strategic control of the game.
In this strategic game between players A and B, the goal is to ensure that one player can always force a win through logical moves. Player A starts with two boxes: one containing 9 balls and the other containing 4 balls.
Winning Strategy for Player A
To guarantee a win, Player A should adopt the following approach:
Initial Move
- Player A should take 4 balls from the box containing 9 balls.
- This leaves the boxes with the following configuration:
- Box 1: 5 balls (9 - 4)
- Box 2: 4 balls
Key Position Analysis
- After Player A’s move, the total configuration is (5, 4).
- This setup is crucial because it forces Player B into a position where any move made will give Player A a winning response.
Player B's Possible Moves
- If Player B:
- Takes 1 ball from Box 1: (4, 4)
- Takes 2 balls from Box 1: (3, 4)
- Takes 3 balls from Box 1: (2, 4)
- Takes 4 balls from Box 1: (1, 4)
- Takes 5 balls from Box 1: (0, 4)
Player A can always mirror or adjust his strategy to maintain control and eventually force Player B into a losing configuration.
Conclusion
By starting with the move of taking 4 balls from Box 1, Player A sets the stage for a guaranteed win as Player B is left with limited options that can be countered effectively. Thus, Player A can ensure victory by maintaining strategic control of the game.
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Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win?
Question Description
Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win?.
Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win?.
Solutions for Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win? in English & in Hindi are available as part of our courses for UPSC.
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ample number of questions to practice Let us now consider another question, which is a classic case of complete or comprehensive trial and error method.Two people A and B are playing a game. Both A and B are logical people. There are two boxes on the table. One of them 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 any box.(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. has to play first. What should he do to ensure a win? tests, examples and also practice UPSC tests.
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