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Great Cheese Heist

Introduction

The Great Cheese Heist is an entertaining game that resembles a minefield challenge created by. FunFair Technologies In this game, a mouse must navigate through a field filled with cheese and traps designed to catch it.

Rules

  1. Players can select from three different game boards: 2x3, 3x6, or 4x9.
  2. Once a game board is selected, the player must carefully maneuver through a grid packed with cheese and hidden mousetraps. Every column contains one mousetrap, while cheese is scattered in alternating rows.
  3. The player must choose a row.
  4. After making a selection, the game will indicate which row in the upcoming column contains the mousetrap.
  5. Choosing a row with cheese will increase the player’s balance, whereas selecting a row with a mousetrap will result in a loss.

The table below illustrates the payout structure for each level based on all the different boards.

Pay Table

Level 2x3 3x6 4x9
1 1.92 1.44 1.28
2 3.69 2.07 1.64
3 7.08 2.99 2.10
4   4.30 2.68
5   6.19 3.44
6   8.92 4.40
7     5.63
8     7.21
9     9.22

Analysis

The subsequent table presents my evaluation of the 2x3 board, revealing that players can expect a payout of roughly 96% for each additional step they take.

2x3 Analysis

Level Pays Probability Return
(per game resolved)
Return
(per step)
1 1.92 0.500000 0.960000 0.960000
2 3.69 0.250000 0.922500 0.960938
3 7.08 0.125000 0.885000 0.959350

The subsequent table presents my evaluation of the 3x6 board, revealing that players can expect a payout of roughly 96% for each additional step they take.

3x6 Analysis

Level Pays Probability Return
(per game resolved)
Return
(per step)
1 1.44 0.666667 0.960000 0.960000
2 2.07 0.444444 0.920000 0.958333
3 2.99 0.296296 0.885926 0.962963
4 4.30 0.197531 0.849383 0.958751
5 6.19 0.131687 0.815144 0.959690
6 8.92 0.087791 0.783100 0.960689

The subsequent table presents my evaluation of the 4x9 board, revealing that players can expect a payout of roughly 96% for each additional step they take.

4x9 Analysis

Level Pays Probability Return
(per game resolved)
Return
(per step)
1 1.28 0.750000 0.960000 0.960000
2 1.64 0.562500 0.922500 0.960938
3 2.10 0.421875 0.885938 0.960366
4 2.68 0.316406 0.847969 0.957143
5 3.44 0.237305 0.816328 0.962687
6 4.40 0.177979 0.783105 0.959302
7 5.63 0.133484 0.751514 0.959659
8 7.21 0.100113 0.721814 0.960480
9 9.22 0.075085 0.692281 0.959085