Tetris Trouble
In Tetris, the goal of the game is to clear as much rows of blocks as possible by slotting in tetriminos (blocks of 4 stuck together) inside a space known as the matrix.
A player receives a line of four blocks, and needs to decide where to place it.
In a certain situation, there are two choices:
A. Scoring a Tetris (placing it in a straight line) will bring an 100% chance of success, but only gives 800 points.
B. Placing it on the side of the matrix will lead to no points, but leads to another three choices.
The next block that the player receives is a T-block. The three choices are:
i. Slot in the T-block and get 1000 points with 80% chance
ii. Do a T-spin and recieve 1200 points with 50% chance
iii. Forever spin the T-block until it spontaneously explodes and get 100000000 points. (The chances of a T-block spontaneously exploding in mid-air is 0.000000000001%)
If you fail, you receive only 200 points.
If you have 200 points and need to reach a high score of 1200 in one move, which is the better choice?
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1 solution
In this situation, you must get 1200 points with 200 so far. You need to get at least 1000 points, so A isn't the best option with 800 points. All of the remaining options have at least 1000 points. From here, you can see that B i is the best choice, because it has the highest chance of succeeding compared to B ii and B iii.