ミニ・くじテンダー

Click on a square to enter a digit.

ついて

Mini Cactpot is a scratchcard lottery where each of the numbers through are hidden in a grid. One cell is initially revealed, and after selecting 3 more to uncover one at a time, you may select any row, column, or diagonal. The sum of your selected line determines how much MGP you win.

Sum	MGP	Sum	MGP
6	10,000	16	72
7	36	17	180
8	720	18	119
9	360	19	36
10	80	20	306
11	252	21	1,080
12	108	22	144
13	72	23	1,800
14	54	24	3,600
15	180

This calculator works by computing the expected value of selecting any line or cell. A strategy that doesn’t involve heavy computation is to first reveal a “Y” shape on the board.

Create any of these shapes. At least one of these is always possible.

Next, select a line as follows:

If a line can be the line, select it.
If a line can be the line, select it.
Select whatever line can have the biggest sum (not payout).

This strategy gives an expected value of 1,259, whereas perfect play gives 1,484. Note that in steps 1 and 2, if a or line exists, you will always select it without ambiguity. In step 3, you may have to guess which lines may have a large sum.

A very similar strategy is to make a Tetris “T” shape, but this performs slightly worse on average.