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 -3.0 points with 100.0% chance, or -3.0 points with 0.0% chance.
  Option X delivers -29.0 points with 75.0% chance, or 63.0 points with 25.0% chance.
  You press <<X>>. You receive -29.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive -29.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive -29.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive -29.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive -29.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  
  Option K delivers 42.0 points with 80.0% chance, or -38.0 points with 20.0% chance.
  Option X delivers 10.0 points with 80.0% chance, 120.0 points with 10.0% chance, or 118.0 points with 10.0% chance.
  You press <<X>>. You receive 10.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  You press <<X>>. You receive 10.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  You press <<X>>. You receive 10.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  You press <<K>>. You receive -38.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<K>>. You receive 42.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  
  Option K delivers -3.0 points with 100.0% chance, or -3.0 points with 0.0% chance.
  Option X delivers 2.0 points with 95.0% chance, 28.5 points with 2.5% chance, or 29.5 points with 2.5% chance.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  
  Option K delivers 8.0 points with 100.0% chance, or 8.0 points with 0.0% chance.
  Option X delivers -2.0 points with 80.0% chance, 9.0 points with 10.0% chance, 11.0 points with 5.0% chance, 15.0 points with 2.5% chance, 23.0 points with 1.25% chance, 39.0 points with 0.625% chance, or 71.0 points with 0.625% chance.
  You press <<K>>. You receive 8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<K>>. You receive 8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<K>>. You receive 8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<K>>. You receive 8.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<K>>. You receive 8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option K delivers 45.0 points with 60.0% chance, or 5.0 points with 40.0% chance.
  Option X delivers 30.0 points with 95.0% chance, or 57.0 points with 5.0% chance.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<K>>. You receive 45.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<K>>. You receive 45.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  
  Option K delivers 8.0 points with 100.0% chance, or 8.0 points with 0.0% chance.
  Option X delivers 8.0 points with 95.0% chance, or 45.0 points with 5.0% chance.
  You press <<X>>. You receive 8.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive 8.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive 8.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive 8.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive 8.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  
  Option K delivers 59.0 points with 20.0% chance, or -26.0 points with 80.0% chance.
  Option X delivers -6.0 points with 75.0% chance, or -5.0 points with 25.0% chance.
  You press <<K>>. You receive -26.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive -6.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  You press <<X>>. You receive -6.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  You press <<X>>. You receive -6.0 points by selecting this option. You would have received 59.0 points had you chosen the other option.
  You press <<X>>. You receive -6.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  
  Option K delivers 3.0 points with 100.0% chance, or 3.0 points with 0.0% chance.
  Option X delivers -7.0 points with 75.0% chance, or 43.0 points with 25.0% chance.
  You press <<K>>. You receive 3.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<X>>. You receive 43.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<K>>. You receive 3.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<X>>. You receive -7.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<K>>. You receive 3.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  
  
  Option K delivers 40.0 points with 20.0% chance, or -15.0 points with 80.0% chance.
  Option X delivers 1.0 points with 75.0% chance, 23.0 points with 12.5% chance, or 21.0 points with 12.5% chance.
  You press <<X>>. You receive 1.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<X>>. You receive 1.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<X>>. You receive 23.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<X>>. You receive 1.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  
  Option K delivers 30.0 points with 100.0% chance, or 30.0 points with 0.0% chance.
  Option X delivers 23.0 points with 90.0% chance, 63.5 points with 0.0781% chance, 64.5 points with 0.5469% chance, 65.5 points with 1.6406% chance, 66.5 points with 2.7344% chance, 67.5 points with 2.7344% chance, 68.5 points with 1.6406% chance, 69.5 points with 0.5469% chance, or 70.5 points with 0.0781% chance.
  You press <<X>>. You receive 23.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 23.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<K>>. You receive 30.0 points by selecting this option. You would have received 66.5 points had you chosen the other option.
  You press <<K>>. You receive 30.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<X>>. You receive 23.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  
  Option K delivers 23.0 points with 100.0% chance, or 23.0 points with 0.0% chance.
  Option X delivers -1.0 points with 60.0% chance, 61.0 points with 20.0% chance, 63.0 points with 10.0% chance, or 67.0 points with 10.0% chance.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 61.0 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 61.0 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 63.0 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 61.0 points had you chosen the other option.
  
  
  
  Option K delivers either 22.0 points with 100.0% chance, or 22.0 points with 0.0% chance.
  Option X delivers either -34.0 points with unknown chance, or 47.0 points with unknown chance.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received -34.0 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received -34.0 points had you chosen the other option.
  You press <<X>>. You receive 47.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received -34.0 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received 47.0 points had you chosen the other option.
  
  Option K delivers 25.0 points with 99.0% chance, or -19.0 points with 1.0% chance.
  Option X delivers 16.0 points with 95.0% chance, 37.5 points with 0.0391% chance, 38.5 points with 0.2734% chance, 39.5 points with 0.8203% chance, 40.5 points with 1.3672% chance, 41.5 points with 1.3672% chance, 42.5 points with 0.8203% chance, 43.5 points with 0.2734% chance, or 44.5 points with 0.0391% chance.
  You press <<X>>. You receive 16.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<X>>. You receive 16.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<X>>. You receive 16.0 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 16.0 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  
  Option K delivers 30.0 points with 10.0% chance, or -4.0 points with 90.0% chance.
  Option X delivers -24.0 points with 1.0% chance, -7.5 points with 0.7734% chance, -6.5 points with 5.4141% chance, -5.5 points with 16.2422% chance, -4.5 points with 27.0703% chance, -3.5 points with 27.0703% chance, -2.5 points with 16.2422% chance, -1.5 points with 5.4141% chance, or -0.5 points with 0.7734% chance.
  You press <<X>>. You receive -6.5 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<X>>. You receive -4.5 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -2.5 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -2.5 points had you chosen the other option.
  You press <<K>>. You receive 30.0 points by selecting this option. You would have received -2.5 points had you chosen the other option.