Mathematical modelling, Escape Room
Budget: ₹1,500 – ₹12,500 INR
Design an adjustable escape room maze with a specified number of rooms (R) and doors (D), ensuring that there is a one-way exit door in one of the rooms.
Develop mathematical models to simulate the movement of two groups, one consisting of teenagers and the other of parents, with different probabilities of solving puzzles in 5-minute intervals.
Adjust the maze design to meet the company's requirements, ensuring that fewer than 20% of groups succeed within the first 30 minutes and more than 40% succeed within 60 minutes.
Analyze the probability parameters for puzzle-solving in Room 3 and how it differs from other rooms.
Determine the minimum amount of time required for all groups to successfully escape the maze, taking into account the random choice of doors and the continuous introduction of new puzzles in each room.
Develop mathematical models to simulate the movement of two groups, one consisting of teenagers and the other of parents, with different probabilities of solving puzzles in 5-minute intervals.
Adjust the maze design to meet the company's requirements, ensuring that fewer than 20% of groups succeed within the first 30 minutes and more than 40% succeed within 60 minutes.
Analyze the probability parameters for puzzle-solving in Room 3 and how it differs from other rooms.
Determine the minimum amount of time required for all groups to successfully escape the maze, taking into account the random choice of doors and the continuous introduction of new puzzles in each room.