Hello i would like to have some help with trying to figure out the following problem.
I would like to know of a equation or some kind of math generator if available to help me figure out a solution, or where I could find information on solving this problem.
The problem I have is kind of like a game:
Each game consists of 6 short rounds. In each round, you and your opponent will bid on 6 coins 1, 2, 3, 4, 5 or 6. At the start of each round, one of six coins will be randomly dropped on the middle of a scale with each coin appearing only once. You and your opponent will each have 6 coins of your own which you must risk during play.
Using your own coins 1 to 6 (where each coin can be used only once), you must try to outbid your opponent in order to tip the scale in your favor and win all the coins After 6 rounds, the player with the most coins wins the game.
For instance:
Overall, I win the game.
I want to know which number to play for any random dealer coin played, to overall win the game. This is pretty complicated to me and I haven't been able to figure it out. I would greatly appreciate any help or info or guidance in the right direction. Thank you
I would like to know of a equation or some kind of math generator if available to help me figure out a solution, or where I could find information on solving this problem.
The problem I have is kind of like a game:
Each game consists of 6 short rounds. In each round, you and your opponent will bid on 6 coins 1, 2, 3, 4, 5 or 6. At the start of each round, one of six coins will be randomly dropped on the middle of a scale with each coin appearing only once. You and your opponent will each have 6 coins of your own which you must risk during play.
Using your own coins 1 to 6 (where each coin can be used only once), you must try to outbid your opponent in order to tip the scale in your favor and win all the coins After 6 rounds, the player with the most coins wins the game.
For instance:
Code:
|----------------------------------------|
| Dealer's | my | opponent's | |
| coin | coin | coin | outcome |
|----------------------------------------|
| 4 | 3 | 2 | I win |
| 3 | 2 | 5 | I lose |
| 2 | 1 | 4 | I lose |
| 5 | 4 | 3 | I win |
| 1 | 5 | 6 | I lose |
| 6 | 6 | 1 | I win |
|----------------------------------------|
| My Total: 34 |
| Opponent's total: 29 |
|----------------------------------------|I want to know which number to play for any random dealer coin played, to overall win the game. This is pretty complicated to me and I haven't been able to figure it out. I would greatly appreciate any help or info or guidance in the right direction. Thank you