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 K delivers 6.0 points with 100.0% chance, or 6.0 points with 0.0% chance.
  Option X delivers 6.0 points with 95.0% chance, 27.5 points with 2.5% chance, or 28.5 points with 2.5% chance.
  You press <<X>>. You receive 6.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<X>>. You receive 28.5 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<X>>. You receive 6.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<X>>. You receive 6.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<X>>. You receive 6.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  
  Option K delivers 28.0 points with 80.0% chance, or 15.0 points with 20.0% chance.
  Option X delivers 30.0 points with 95.0% chance, 32.0 points with 2.5% chance, 34.0 points with 1.25% chance, 38.0 points with 0.625% chance, 46.0 points with 0.3125% chance, 62.0 points with 0.1562% chance, 94.0 points with 0.0781% chance, or 158.0 points with 0.0781% chance.
  You press <<X>>. You receive 30.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<X>>. You receive 30.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<X>>. You receive 30.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<X>>. You receive 30.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<X>>. You receive 30.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  
  
  
  Option K delivers 5.0 points with 99.0% chance, or -3.0 points with 1.0% chance.
  Option X delivers -13.0 points with 80.0% chance, 55.0 points with 10.0% chance, 57.0 points with 5.0% chance, 61.0 points with 2.5% chance, 69.0 points with 1.25% chance, or 85.0 points with 1.25% chance.
  You press <<X>>. You receive -13.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  
  Option K delivers 14.0 points with 100.0% chance, or 14.0 points with 0.0% chance.
  Option X delivers 4.0 points with 20.0% chance, or 17.0 points with 80.0% chance.
  You press <<X>>. You receive 17.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 17.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 17.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 17.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 17.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  
  
  Option K delivers -6.0 points with 100.0% chance, or -6.0 points with 0.0% chance.
  Option X delivers -14.0 points with 95.0% chance, or -1.0 points with 5.0% chance.
  You press <<K>>. You receive -6.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<K>>. You receive -6.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<K>>. You receive -6.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<K>>. You receive -6.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<K>>. You receive -6.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  
  
  Option K delivers either 53.0 points with 5.0% chance, or 25.0 points with 95.0% chance.
  Option X delivers either -22.0 points with unknown chance, 52.5 points with unknown chance, 53.5 points with unknown chance, 54.5 points with unknown chance, 55.5 points with unknown chance, 56.5 points with unknown chance, or 57.5 points with unknown chance.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 56.5 points had you chosen the other option.
  You press <<X>>. You receive -22.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<X>>. You receive -22.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 54.5 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 55.5 points had you chosen the other option.
  
  Option K delivers 34.0 points with 40.0% chance, or -36.0 points with 60.0% chance.
  Option X delivers -37.0 points with 25.0% chance, or 0.0 points with 75.0% chance.
  You press <<K>>. You receive 34.0 points by selecting this option. You would have received -37.0 points had you chosen the other option.
  You press <<K>>. You receive -36.0 points by selecting this option. You would have received -37.0 points had you chosen the other option.
  You press <<K>>. You receive 34.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<K>>. You receive -36.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<K>>. You receive 34.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  
  Option K delivers 11.0 points with 20.0% chance, or 6.0 points with 80.0% chance.
  Option X delivers -10.0 points with 75.0% chance, 73.5 points with 0.7812% chance, 74.5 points with 3.9062% chance, 75.5 points with 7.8125% chance, 76.5 points with 7.8125% chance, 77.5 points with 3.9062% chance, or 78.5 points with 0.7812% chance.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<K>>. You receive 6.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  
  Option K delivers 29.0 points with 100.0% chance, or 29.0 points with 0.0% chance.
  Option X delivers -39.0 points with 60.0% chance, or 111.0 points with 40.0% chance.
  You press <<X>>. You receive 111.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 29.0 points by selecting this option. You would have received -39.0 points had you chosen the other option.
  You press <<K>>. You receive 29.0 points by selecting this option. You would have received 111.0 points had you chosen the other option.
  You press <<X>>. You receive 111.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<X>>. You receive 111.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  
  
  
  Option K delivers either 90.0 points with 10.0% chance, or -12.0 points with 90.0% chance.
  Option X delivers either -13.0 points with unknown chance, or 22.0 points with unknown chance.
  You press <<K>>. You receive -12.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<K>>. You receive 90.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<K>>. You receive -12.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<K>>. You receive -12.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<K>>. You receive -12.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  
  
  Option K delivers either -5.0 points with 100.0% chance, or -5.0 points with 0.0% chance.
  Option X delivers either 0.0 points with unknown chance, 29.5 points with unknown chance, or 30.5 points with unknown chance.
  You press <<X>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  
  Option K delivers -2.0 points with 100.0% chance, or -2.0 points with 0.0% chance.
  Option X delivers -17.0 points with 50.0% chance, 23.0 points with 25.0% chance, 25.0 points with 12.5% chance, or 29.0 points with 12.5% chance.
  You press <<X>>. You receive -17.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<X>>. You receive 29.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<X>>. You receive 29.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<X>>. You receive -17.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<X>>. You receive -17.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.