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 R delivers -5.0 points with 100.0% chance, or -5.0 points with 0.0% chance.
  Option X delivers -12.0 points with 25.0% chance, or -9.0 points with 75.0% chance.
  You press <<X>>.
  You press <<R>>.
  You press <<R>>.
  You press <<R>>.
  You press <<R>>.
  
  Option R delivers 18.0 points with 25.0% chance, or 11.0 points with 75.0% chance.
  Option X delivers 8.0 points with 50.0% chance, 10.0 points with 25.0% chance, 14.0 points with 12.5% chance, 22.0 points with 6.25% chance, 38.0 points with 3.125% chance, or 70.0 points with 3.125% chance.
  You press <<R>>. You receive 11.0 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 18.0 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 8.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<X>>. You receive 8.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  
  Option R delivers either 8.0 points with 100.0% chance, or 8.0 points with 0.0% chance.
  Option X delivers either -5.0 points with unknown chance, 23.0 points with unknown chance, 25.0 points with unknown chance, 29.0 points with unknown chance, 37.0 points with unknown chance, 53.0 points with unknown chance, or 85.0 points with unknown chance.
  You press <<X>>. You receive 25.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive -5.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive -5.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive -5.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<X>>. You receive -5.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  Option R delivers 30.0 points with 80.0% chance, or -6.0 points with 20.0% chance.
  Option X delivers 1.0 points with 20.0% chance, or 29.0 points with 80.0% chance.
  You press <<R>>. You receive 30.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<R>>. You receive -6.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<R>>. You receive 30.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<R>>. You receive 30.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<R>>. You receive -6.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  
  Option R delivers either 18.0 points with 100.0% chance, or 18.0 points with 0.0% chance.
  Option X delivers either -24.0 points with unknown chance, or 75.0 points with unknown chance.
  You press <<X>>. You receive -24.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<X>>. You receive 75.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<X>>. You receive -24.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<X>>. You receive -24.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<X>>. You receive -24.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  
  Option R delivers 24.0 points with 100.0% chance, or 24.0 points with 0.0% chance.
  Option X delivers -5.0 points with 80.0% chance, or 86.0 points with 20.0% chance.
  You press <<R>>. You receive 24.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<R>>. You receive 24.0 points by selecting this option. You would have received 86.0 points had you chosen the other option.
  You press <<R>>. You receive 24.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<R>>. You receive 24.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<R>>. You receive 24.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  Option R delivers 2.0 points with 75.0% chance, or -19.0 points with 25.0% chance.
  Option X delivers -11.0 points with 99.0% chance, or 52.0 points with 1.0% chance.
  You press <<R>>. You receive 2.0 points by selecting this option. You would have received -11.0 points had you chosen the other option.
  You press <<R>>. You receive 2.0 points by selecting this option. You would have received -11.0 points had you chosen the other option.
  You press <<R>>. You receive 2.0 points by selecting this option. You would have received -11.0 points had you chosen the other option.
  You press <<R>>. You receive 2.0 points by selecting this option. You would have received -11.0 points had you chosen the other option.
  You press <<R>>. You receive 2.0 points by selecting this option. You would have received -11.0 points had you chosen the other option.
  
  
  Option R delivers 19.0 points with 100.0% chance, or 19.0 points with 0.0% chance.
  Option X delivers 19.0 points with 95.0% chance, 19.5 points with 0.1562% chance, 20.5 points with 0.7812% chance, 21.5 points with 1.5625% chance, 22.5 points with 1.5625% chance, 23.5 points with 0.7812% chance, or 24.5 points with 0.1562% chance.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  
  Option R delivers 30.0 points with 100.0% chance, or 30.0 points with 0.0% chance.
  Option X delivers 40.0 points with 99.0% chance, or 50.0 points with 1.0% chance.
  You press <<X>>. You receive 40.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 40.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 40.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 40.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 40.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  
  
  Option R delivers 9.0 points with 100.0% chance, or 9.0 points with 0.0% chance.
  Option X delivers 9.0 points with 99.0% chance, 47.0 points with 0.5% chance, 49.0 points with 0.25% chance, 53.0 points with 0.125% chance, 61.0 points with 0.0625% chance, or 77.0 points with 0.0625% chance.
  You press <<X>>. You receive 9.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<X>>. You receive 9.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<X>>. You receive 9.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<X>>. You receive 9.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<X>>. You receive 9.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  
  
  Option R delivers -9.0 points with 100.0% chance, or -9.0 points with 0.0% chance.
  Option X delivers -14.0 points with 75.0% chance, or -14.0 points with 25.0% chance.
  You press <<R>>. You receive -9.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<R>>. You receive -9.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<R>>. You receive -9.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<R>>. You receive -9.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<R>>. You receive -9.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  
  Option R delivers 14.0 points with 100.0% chance, or 14.0 points with 0.0% chance.
  Option X delivers -1.0 points with 75.0% chance, 97.5 points with 0.7812% chance, 98.5 points with 3.9062% chance, 99.5 points with 7.8125% chance, 100.5 points with 7.8125% chance, 101.5 points with 3.9062% chance, or 102.5 points with 0.7812% chance.
  You press <<X>>. You receive -1.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive -1.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 99.5 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 98.5 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 99.5 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  
  Option R delivers either 18.0 points with 100.0% chance, or 18.0 points with 0.0% chance.
  Option X delivers either -19.0 points with unknown chance, or 23.0 points with unknown chance.
  You press <<R>>. You receive 18.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<R>>. You receive 18.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<R>>. You receive 18.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<R>>. You receive 18.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<R>>. You receive 18.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  
  Option R delivers either 54.0 points with 25.0% chance, or -25.0 points with 75.0% chance.
  Option X delivers either -6.0 points with unknown chance, 12.0 points with unknown chance, 14.0 points with unknown chance, 18.0 points with unknown chance, 26.0 points with unknown chance, 42.0 points with unknown chance, 74.0 points with unknown chance, or 138.0 points with unknown chance.
  You press <<X>>. You receive 42.0 points by selecting this option. You would have received -25.0 points had you chosen the other option.
  You press <<X>>. You receive -6.0 points by selecting this option. You would have received 54.0 points had you chosen the other option.
  You press <<X>>. You receive -6.0 points by selecting this option. You would have received -25.0 points had you chosen the other option.
  You press <<X>>. You receive -6.0 points by selecting this option. You would have received 54.0 points had you chosen the other option.
  You press <<X>>. You receive 12.0 points by selecting this option. You would have received -25.0 points had you chosen the other option.
  
  Option R delivers 12.0 points with 100.0% chance, or 12.0 points with 0.0% chance.
  Option X delivers -44.0 points with 1.0% chance, or 4.0 points with 99.0% chance.
  You press <<R>>. You receive 12.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<R>>. You receive 12.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<R>>. You receive 12.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<R>>. You receive 12.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<R>>. You receive 12.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  
  
  Option R delivers -1.0 points with 100.0% chance, or -1.0 points with 0.0% chance.
  Option X delivers -32.0 points with 75.0% chance, 105.5 points with 3.125% chance, 106.5 points with 9.375% chance, 107.5 points with 9.375% chance, or 108.5 points with 3.125% chance.
  You press <<X>>. You receive -32.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<X>>. You receive -32.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<X>>. You receive 106.5 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<X>>. You receive 108.5 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<X>>. You receive -32.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.