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 11.0 points with 100.0% chance, or 11.0 points with 0.0% chance.
  Option X delivers -3.0 points with 50.0% chance, 27.5 points with 6.25% chance, 28.5 points with 18.75% chance, 29.5 points with 18.75% chance, or 30.5 points with 6.25% chance.
  You press <<K>>. You receive 11.0 points by selecting this option. You would have received 29.5 points had you chosen the other option.
  You press <<K>>. You receive 11.0 points by selecting this option. You would have received 30.5 points had you chosen the other option.
  You press <<X>>. You receive -3.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<X>>. You receive 27.5 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<X>>. You receive 27.5 points by selecting this option. You would have received 11.0 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 80.0% chance, 23.5 points with 0.1562% chance, 24.5 points with 1.0938% chance, 25.5 points with 3.2812% chance, 26.5 points with 5.4688% chance, 27.5 points with 5.4688% chance, 28.5 points with 3.2812% chance, 29.5 points with 1.0938% chance, or 30.5 points with 0.1562% 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 -17.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<K>>. You receive -2.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<K>>. You receive -2.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<K>>. You receive -2.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  
  
  Option K delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option X delivers 16.0 points with 80.0% chance, 93.5 points with 2.5% chance, 94.5 points with 7.5% chance, 95.5 points with 7.5% chance, or 96.5 points with 2.5% chance.
  You press <<X>>. You receive 93.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<K>>. You receive 27.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<K>>. You receive 27.0 points by selecting this option. You would have received 93.5 points had you chosen the other option.
  You press <<X>>. You receive 16.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<X>>. You receive 16.0 points by selecting this option. You would have received 27.0 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 -21.0 points with 60.0% chance, or 104.0 points with 40.0% chance.
  You press <<K>>. You receive 30.0 points by selecting this option. You would have received -21.0 points had you chosen the other option.
  You press <<K>>. You receive 30.0 points by selecting this option. You would have received -21.0 points had you chosen the other option.
  You press <<X>>. You receive 104.0 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 104.0 points had you chosen the other option.
  You press <<K>>. You receive 30.0 points by selecting this option. You would have received 104.0 points had you chosen the other option.
  
  
  Option K delivers -5.0 points with 100.0% chance, or -5.0 points with 0.0% chance.
  Option X delivers -11.0 points with 95.0% chance, or 12.0 points with 5.0% chance.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  
  Option K delivers 20.0 points with 100.0% chance, or 20.0 points with 0.0% chance.
  Option X delivers 2.0 points with 50.0% chance, 31.0 points with 25.0% chance, 33.0 points with 12.5% chance, 37.0 points with 6.25% chance, 45.0 points with 3.125% chance, 61.0 points with 1.5625% chance, 93.0 points with 0.7812% chance, or 157.0 points with 0.7812% chance.
  You press <<X>>. You receive 31.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<X>>. You receive 31.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<X>>. You receive 31.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<X>>. You receive 33.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option K delivers -5.0 points with 100.0% chance, or -5.0 points with 0.0% chance.
  Option X delivers -10.0 points with 25.0% chance, or -9.0 points with 75.0% chance.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  
  
  
  
  Option K delivers 7.0 points with 100.0% chance, or 7.0 points with 0.0% chance.
  Option X delivers -21.0 points with 60.0% chance, 49.0 points with 20.0% chance, 47.0 points with 10.0% chance, 43.0 points with 5.0% chance, 35.0 points with 2.5% chance, or 19.0 points with 2.5% chance.
  You press <<X>>. You receive -21.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<X>>. You receive -21.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<X>>. You receive -21.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<X>>. You receive -21.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<X>>. You receive 47.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  
  Option K delivers 15.0 points with 100.0% chance, or 15.0 points with 0.0% chance.
  Option X delivers 4.0 points with 60.0% chance, or 38.0 points with 40.0% chance.
  You press <<K>>. You receive 15.0 points by selecting this option. You would have received 38.0 points had you chosen the other option.
  You press <<X>>. You receive 38.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<X>>. You receive 4.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<X>>. You receive 4.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<X>>. You receive 4.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  
  
  
  Option K delivers 0.0 points with 100.0% chance, or 0.0 points with 0.0% chance.
  Option X delivers 2.0 points with 25.0% chance, or 2.0 points with 75.0% chance.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<X>>. You receive 2.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  
  Option K delivers 10.0 points with 100.0% chance, or 10.0 points with 0.0% chance.
  Option X delivers 11.0 points with 75.0% chance, or 21.0 points with 25.0% chance.
  You press <<X>>. You receive 11.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<X>>. You receive 11.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<X>>. You receive 11.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<X>>. You receive 11.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.