Triangle Peg Game Solution

Game Pieces: Each player chooses five pegs in a unique color. Winning: The first team or individual to have all of their pegs in the SAFE position wins the game. Dealing: Deal each player five cards. Player to the left of the dealer draws one. This movie explains how to solve the peg game and remember the solution. You will be a Genius! This movie explains how to solve the peg game and remember the solution. You will be a Genius! The board has the form of a plus sign + 2 The goal is to jump a peg over another peg onto a hole. You can jump only horizontally or vertically.

Triangle Peg Game Solution

Here are my solutions.
if you number the pegs 0-9 and A-F you get:
0
1 2
3 4 5
6 7 8 9
A B C D E
Winning Games
take| games with | games ending | Possible | same as
out | one left | at start | games
--------------------------------------------------------------------------------
0 | 29760 (2.30%) | 6816 (0.52%) | 1293178 | A,E
1 | 14880 (2.21%) | 720 (0.10%) | 671084 | 2,6,9,B,D
3 | 85258 (3.28%) | 51452 (1.98%) | 2592132 | 5,C
4 | 1550 (0.47%) | 0 (0.00%) | 323872 | 7,8
--------------------------------------------------------------------------------
All | 438984 (2.63%) | 179124 (1.07%) | 16654050
Here are three solutions ending at start with 0,1,3 empty.
If you start with a middle one empty (4,7,8) there are no solutions with ending at start.
The solution is read as (peg to move, peg to jump, peg at end) for each move
***
[(3, 1, 0), (5, 4, 3), (0, 2, 5), (6, 3, 1), (9, 5, 2), (B, 7, 4), (D, C, B), (A, B, C), (C, 8, 5),
(2, 5, 9), (E, 9, 5), (5, 4, 3), (3, 1, 0)]
***
[(6, 3, 1), (5, 4, 3), (0, 2, 5), (1, 3, 6), (9, 5, 2), (B, 7, 4), (D, C, B), (A, B, C), (C, 8, 5),
(2, 5, 9), (E, 9, 5), (5, 4, 3), (6, 3, 1)]
***
[(0, 1, 3), (5, 2, 0), (3, 4, 5), (9, 5, 2), (0, 2, 5), (C, 7, 3), (6, 3, 1), (E, D, C), (B, C, D), (D, 8, 4), (5, 4, 3), (1, 3, 6), (A, 6, 3)]

Peg Game Instructions