Here, again is the matrix for this problem.
| Problem 193 | |||
| Player A | Player B | ||
| Rock | Paper | Scissors | |
| Rock | 6 | 0 | 6 |
| Paper | 8 | -2 | 0 |
| Scissors | 4 | 6 | 5 |
Player A should pick rock with probability proportional to 6.
Player A should pick paper with probability proportional to 6.
Player A should pick scissors with probability proportional to 48.
Player B should pick rock with probability proportional to 38.
Player B should pick paper with probability proportional to 14.
Player B should pick scissors with probability proportional to 8.
For help with this problem I recommend 'The Complete Strategyst' by J.D. Williams.
Michael Shackleford, A.S.A.