text: You will encounter a series of gambling problems where you have to select between two options.
  You can select an option by pressing the corresponding key.
  For some problems, you are told the points you received and missed out on after each selection, while for others this information is suppressed.
  In cases where the probabilities are unknown, they sum up to one and remain constant within a problem.
  
  Option V delivers 54.0 points with 50.0% chance, or 4.0 points with 50.0% chance.
  Option P delivers 14.0 points with 50.0% chance, 42.0 points with 25.0% chance, 40.0 points with 12.5% chance, or 36.0 points with 12.5% chance.
  You press <<V>>. You receive 4.0 points by selecting this option. You would have received 40.0 points had you chosen the other option.
  You press <<P>>. You receive 36.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<V>>. You receive 4.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 54.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<P>>. You receive 36.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  
  
  
  
  Option V delivers -9.0 points with 80.0% chance, or -13.0 points with 20.0% chance.
  Option P delivers -13.0 points with 50.0% chance, or 2.0 points with 50.0% chance.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<P>>. You receive -13.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  
  Option V delivers 22.0 points with 100.0% chance, or 22.0 points with 0.0% chance.
  Option P delivers 21.0 points with 99.0% chance, or 70.0 points with 1.0% chance.
  You press <<V>>. You receive 22.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<V>>. You receive 22.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<V>>. You receive 22.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  Option V delivers either 53.0 points with 25.0% chance, or 18.0 points with 75.0% chance.
  Option P delivers either 15.0 points with unknown chance, 31.5 points with unknown chance, or 32.5 points with unknown chance.
  You press <<P>>. You receive 31.5 points by selecting this option. You would have received 53.0 points had you chosen the other option.
  You press <<P>>. You receive 32.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<V>>. You receive 18.0 points by selecting this option. You would have received 31.5 points had you chosen the other option.
  You press <<P>>. You receive 31.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<V>>. You receive 18.0 points by selecting this option. You would have received 31.5 points had you chosen the other option.
  
  
  Option V delivers 24.0 points with 100.0% chance, or 24.0 points with 0.0% chance.
  Option P delivers -6.0 points with 5.0% chance, 19.5 points with 11.875% chance, 20.5 points with 35.625% chance, 21.5 points with 35.625% chance, or 22.5 points with 11.875% chance.
  You press <<V>>. You receive 24.0 points by selecting this option. You would have received 21.5 points had you chosen the other option.
  You press <<P>>. You receive 20.5 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<V>>. You receive 24.0 points by selecting this option. You would have received 21.5 points had you chosen the other option.
  You press <<V>>. You receive 24.0 points by selecting this option. You would have received 19.5 points had you chosen the other option.
  You press <<P>>. You receive 20.5 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  
  Option V delivers 5.0 points with 100.0% chance, or 5.0 points with 0.0% chance.
  Option P delivers -2.0 points with 95.0% chance, -2.0 points with 2.5% chance, 0.0 points with 1.25% chance, 4.0 points with 0.625% chance, 12.0 points with 0.3125% chance, or 28.0 points with 0.3125% chance.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive -2.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive -2.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option V delivers 94.0 points with 1.0% chance, or -9.0 points with 99.0% chance.
  Option P delivers -22.0 points with 80.0% chance, 95.5 points with 0.1562% chance, 96.5 points with 1.0938% chance, 97.5 points with 3.2812% chance, 98.5 points with 5.4688% chance, 99.5 points with 5.4688% chance, 100.5 points with 3.2812% chance, 101.5 points with 1.0938% chance, or 102.5 points with 0.1562% chance.
  You press <<P>>. You receive -22.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<P>>. You receive 98.5 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -22.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -22.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -22.0 points had you chosen the other option.
  
  Option V delivers 17.0 points with 100.0% chance, or 17.0 points with 0.0% chance.
  Option P delivers 21.0 points with 95.0% chance, 98.0 points with 2.5% chance, 96.0 points with 1.25% chance, 92.0 points with 0.625% chance, or 84.0 points with 0.625% chance.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<V>>. You receive 17.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<V>>. You receive 17.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<V>>. You receive 17.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  
  Option V delivers 24.0 points with 10.0% chance, or 14.0 points with 90.0% chance.
  Option P delivers 1.0 points with 75.0% chance, 60.5 points with 12.5% chance, or 61.5 points with 12.5% chance.
  You press <<V>>. You receive 14.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<V>>. You receive 14.0 points by selecting this option. You would have received 60.5 points had you chosen the other option.
  You press <<V>>. You receive 14.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<P>>. You receive 1.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 14.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  
  
  Option V delivers 18.0 points with 100.0% chance, or 18.0 points with 0.0% chance.
  Option P delivers 6.0 points with 75.0% chance, 8.5 points with 12.5% chance, or 9.5 points with 12.5% chance.
  You press <<P>>. You receive 8.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<P>>. You receive 6.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<V>>. You receive 18.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<V>>. You receive 18.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<V>>. You receive 18.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  
  Option V delivers either 96.0 points with 20.0% chance, or -9.0 points with 80.0% chance.
  Option P delivers either -26.0 points with unknown chance, 60.5 points with unknown chance, 61.5 points with unknown chance, 62.5 points with unknown chance, or 63.5 points with unknown chance.
  You press <<P>>. You receive 60.5 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<P>>. You receive -26.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  You press <<V>>. You receive 96.0 points by selecting this option. You would have received 62.5 points had you chosen the other option.
  
  Option V delivers 22.0 points with 100.0% chance, or 22.0 points with 0.0% chance.
  Option P delivers 16.0 points with 60.0% chance, 20.5 points with 20.0% chance, or 21.5 points with 20.0% chance.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<V>>. You receive 22.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  
  
  Option V delivers either -3.0 points with 100.0% chance, or -3.0 points with 0.0% chance.
  Option P delivers either 5.0 points with unknown chance, 15.0 points with unknown chance, or 13.0 points with unknown chance.
  You press <<V>>. You receive -3.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<V>>. You receive -3.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.