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If two green players or two red players are paired, neither player will change color in this round.
What happens if a green player is paired with a red player?
In this case, the green player may change into a red player. The probability of this change depends on the actions that both players choose in this round.
If both choose action G (8 points), there is a 5% chance that the green player changes into a red player in that round. This means, 1 in 20 green players would change on average in this situation, 19 of 20 would stay green.
If one of the two players chooses action H (40 points) instead, the chance is increased (by 10%) to 15%. This means, 3 in 20 green players would change on average in this situation, 17 of 20 would stay green.
If both players choose action H, the chance is increased (by another 10%) to 25%. This means, 5 in 20 green players would change on average in this situation, 15 of 20 would stay green.
As you know, you can receive 8 points or 40 points in each of the 25 rounds. How much would you earn per point if you are a green player at the end of the game?
Points are converted into bonus money at an exchange rate of: 10 points equal 5p.
So, 100 points are worth 50p and 200 points are worth £1 of possible bonus payment.
Each choice of action G is potentially worth 4p in the end, each choice of action H is potentially worth 20p.