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 X delivers either 72.0 points with 10.0% chance, or 5.0 points with 90.0% chance.
  Option D delivers either -8.0 points with unknown chance, 111.5 points with unknown chance, or 112.5 points with unknown chance.
  You press <<D>>. You receive 111.5 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<X>>. You receive 72.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<X>>. You receive 72.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<D>>. You receive -8.0 points by selecting this option. You would have received 5.0 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 X delivers either -7.0 points with 100.0% chance, or -7.0 points with 0.0% chance.
  Option D delivers either -8.0 points with unknown chance, 17.5 points with unknown chance, 18.5 points with unknown chance, 19.5 points with unknown chance, or 20.5 points with unknown chance.
  You press <<X>>. You receive -7.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<X>>. You receive -7.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<D>>. You receive -8.0 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 -8.0 points had you chosen the other option.
  You press <<X>>. You receive -7.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  
  Option X delivers either 0.0 points with 100.0% chance, or 0.0 points with 0.0% chance.
  Option D delivers either -0.5 points with unknown chance, or 0.5 points with unknown chance.
  You press <<D>>. You receive 0.5 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<D>>. You receive -0.5 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<D>>. You receive 0.5 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<D>>. You receive 0.5 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<X>>. You receive 0.0 points by selecting this option. You would have received 0.5 points had you chosen the other option.
  
  Option X delivers either 42.0 points with 40.0% chance, or -33.0 points with 60.0% chance.
  Option D delivers either 1.0 points with unknown chance, or 4.0 points with unknown chance.
  You press <<X>>. You receive -33.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<D>>. You receive 4.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  You press <<D>>. You receive 1.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  You press <<D>>. You receive 1.0 points by selecting this option. You would have received -33.0 points had you chosen the other option.
  You press <<D>>. You receive 4.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  
  Option X delivers 7.0 points with 75.0% chance, or -33.0 points with 25.0% chance.
  Option D delivers -5.5 points with 3.125% chance, -4.5 points with 15.625% chance, -3.5 points with 31.25% chance, -2.5 points with 31.25% chance, -1.5 points with 15.625% chance, or -0.5 points with 3.125% chance.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  
  Option X delivers 18.0 points with 100.0% chance, or 18.0 points with 0.0% chance.
  Option D delivers -7.0 points with 25.0% chance, 25.0 points with 37.5% chance, 23.0 points with 18.75% chance, 19.0 points with 9.375% chance, 11.0 points with 4.6875% chance, -5.0 points with 2.3438% chance, or -37.0 points with 2.3438% chance.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  
  Option X delivers either 37.0 points with 10.0% chance, or 13.0 points with 90.0% chance.
  Option D delivers either -7.0 points with unknown chance, 31.0 points with unknown chance, 33.0 points with unknown chance, 37.0 points with unknown chance, or 45.0 points with unknown chance.
  You press <<D>>. You receive -7.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<D>>. You receive -7.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<D>>. You receive 31.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<D>>. You receive -7.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<D>>. You receive -7.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  
  Option X delivers either 27.0 points with 60.0% chance, or 19.0 points with 40.0% chance.
  Option D delivers either -20.0 points with unknown chance, 72.5 points with unknown chance, or 73.5 points with unknown chance.
  You press <<D>>. You receive -20.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<D>>. You receive 72.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<D>>. You receive 72.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<D>>. You receive 73.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<D>>. You receive -20.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  
  Option X delivers either 24.0 points with 100.0% chance, or 24.0 points with 0.0% chance.
  Option D delivers either -49.0 points with unknown chance, or 63.0 points with unknown chance.
  You press <<D>>. You receive -49.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<D>>. You receive -49.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<X>>. You receive 24.0 points by selecting this option. You would have received 63.0 points had you chosen the other option.
  You press <<D>>. You receive 63.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<D>>. You receive 63.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  
  
  
  Option X delivers either 52.0 points with 1.0% chance, or 28.0 points with 99.0% chance.
  Option D delivers either 14.0 points with unknown chance, or 30.0 points with unknown chance.
  You press <<X>>. You receive 28.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<D>>. You receive 14.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<X>>. You receive 28.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<D>>. 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 28.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  
  Option X delivers -9.0 points with 100.0% chance, or -9.0 points with 0.0% chance.
  Option D delivers -12.0 points with 75.0% chance, 4.0 points with 12.5% chance, 6.0 points with 6.25% chance, 10.0 points with 3.125% chance, 18.0 points with 1.5625% chance, or 34.0 points with 1.5625% chance.
  You press <<X>>. You receive -9.0 points by selecting this option. You would have received -12.0 points had you chosen the other option.
  You press <<D>>. You receive 4.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<D>>. You receive -12.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<D>>. You receive -12.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<D>>. You receive 10.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  
  Option X delivers 23.0 points with 20.0% chance, or 8.0 points with 80.0% chance.
  Option D delivers 11.0 points with 100.0% chance.
  You press <<X>>. You receive 8.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<D>>. You receive 11.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<D>>. You receive 11.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<D>>. You receive 11.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<D>>. You receive 11.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  Option X delivers 5.0 points with 75.0% chance, or -23.0 points with 25.0% chance.
  Option D delivers -12.0 points with 90.0% chance, or 7.0 points with 10.0% chance.
  You press <<X>>. You receive 5.0 points by selecting this option. You would have received -12.0 points had you chosen the other option.
  You press <<D>>. You receive -12.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<X>>. You receive 5.0 points by selecting this option. You would have received -12.0 points had you chosen the other option.
  You press <<X>>. You receive 5.0 points by selecting this option. You would have received -12.0 points had you chosen the other option.
  You press <<X>>. You receive -23.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  
  Option X delivers 81.0 points with 10.0% chance, or 21.0 points with 90.0% chance.
  Option D delivers 17.0 points with 60.0% chance, or 30.0 points with 40.0% chance.
  You press <<X>>. You receive 81.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<D>>. You receive 30.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  
  Option X delivers either 24.0 points with 100.0% chance, or 24.0 points with 0.0% chance.
  Option D delivers either -12.0 points with unknown chance, or 58.0 points with unknown chance.
  You press <<X>>. You receive 24.0 points by selecting this option. You would have received 58.0 points had you chosen the other option.
  You press <<D>>. You receive 58.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<X>>. You receive 24.0 points by selecting this option. You would have received 58.0 points had you chosen the other option.
  You press <<D>>. You receive 58.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<X>>. You receive 24.0 points by selecting this option. You would have received 58.0 points had you chosen the other option.
  
  Option X delivers either 13.0 points with 100.0% chance, or 13.0 points with 0.0% chance.
  Option D delivers either 0.0 points with unknown chance, 15.5 points with unknown chance, 16.5 points with unknown chance, 17.5 points with unknown chance, or 18.5 points with unknown chance.
  You press <<X>>.
  You press <<X>>.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.