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 8.0 points with 100.0% chance, or 8.0 points with 0.0% chance.
  Option P delivers either -1.0 points with unknown chance, or 28.0 points with unknown chance.
  You press <<P>>. You receive -1.0 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 -1.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 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 28.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  Option X delivers 29.0 points with 100.0% chance, or 29.0 points with 0.0% chance.
  Option P delivers 24.0 points with 75.0% chance, 50.5 points with 12.5% chance, or 51.5 points with 12.5% chance.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  
  Option X delivers either 30.0 points with 5.0% chance, or 21.0 points with 95.0% chance.
  Option P delivers either 1.0 points with unknown chance, or 20.0 points with unknown chance.
  You press <<P>>. You receive 20.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option X delivers either 14.0 points with 60.0% chance, or 1.0 points with 40.0% chance.
  Option P delivers either -16.0 points with unknown chance, 4.5 points with unknown chance, or 5.5 points with unknown chance.
  You press <<X>>. You receive 14.0 points by selecting this option. You would have received 5.5 points had you chosen the other option.
  You press <<X>>. You receive 1.0 points by selecting this option. You would have received 5.5 points had you chosen the other option.
  You press <<X>>. You receive 1.0 points by selecting this option. You would have received 4.5 points had you chosen the other option.
  You press <<X>>. You receive 14.0 points by selecting this option. You would have received 5.5 points had you chosen the other option.
  You press <<X>>. You receive 14.0 points by selecting this option. You would have received 5.5 points had you chosen the other option.
  
  Option X delivers 29.0 points with 100.0% chance, or 29.0 points with 0.0% chance.
  Option P delivers -40.0 points with 50.0% chance, or 102.0 points with 50.0% chance.
  You press <<X>>. You receive 29.0 points by selecting this option. You would have received 102.0 points had you chosen the other option.
  You press <<X>>. You receive 29.0 points by selecting this option. You would have received 102.0 points had you chosen the other option.
  You press <<X>>. You receive 29.0 points by selecting this option. You would have received 102.0 points had you chosen the other option.
  You press <<X>>. You receive 29.0 points by selecting this option. You would have received -40.0 points had you chosen the other option.
  You press <<X>>. You receive 29.0 points by selecting this option. You would have received 102.0 points had you chosen the other option.
  
  Option X delivers 24.0 points with 100.0% chance, or 24.0 points with 0.0% chance.
  Option P delivers 5.0 points with 25.0% chance, 32.0 points with 37.5% chance, or 34.0 points with 37.5% chance.
  You press <<P>>. You receive 34.0 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 32.0 points had you chosen the other option.
  You press <<P>>. You receive 32.0 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 32.0 points had you chosen the other option.
  You press <<P>>. You receive 34.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  
  Option X delivers 30.0 points with 60.0% chance, or -42.0 points with 40.0% chance.
  Option P delivers 5.0 points with 99.0% chance, 16.5 points with 0.0312% chance, 17.5 points with 0.1562% chance, 18.5 points with 0.3125% chance, 19.5 points with 0.3125% chance, 20.5 points with 0.1562% chance, or 21.5 points with 0.0312% chance.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received -42.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received -42.0 points had you chosen the other option.
  
  Option X delivers either -5.0 points with 100.0% chance, or -5.0 points with 0.0% chance.
  Option P delivers either -19.0 points with unknown chance, or 42.0 points with unknown chance.
  You press <<P>>. You receive -19.0 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 42.0 points had you chosen the other option.
  You press <<X>>. You receive -5.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  You press <<P>>. You receive -19.0 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 -19.0 points had you chosen the other option.
  
  Option X delivers 96.0 points with 40.0% chance, or -31.0 points with 60.0% chance.
  Option P delivers -15.0 points with 20.0% chance, 35.0 points with 40.0% chance, 33.0 points with 20.0% chance, 29.0 points with 10.0% chance, 21.0 points with 5.0% chance, or 5.0 points with 5.0% chance.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  
  Option X delivers either 23.0 points with 100.0% chance, or 23.0 points with 0.0% chance.
  Option P delivers either 22.0 points with unknown chance, or 72.0 points with unknown chance.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive 72.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  
  Option X delivers 43.0 points with 40.0% chance, or -14.0 points with 60.0% chance.
  Option P delivers 5.0 points with 75.0% chance, or 22.0 points with 25.0% chance.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  
  Option X delivers -4.0 points with 100.0% chance, or -4.0 points with 0.0% chance.
  Option P delivers -10.0 points with 5.0% chance, -9.0 points with 47.5% chance, -7.0 points with 23.75% chance, or -3.0 points with 23.75% chance.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  
  Option X delivers either 6.0 points with 99.0% chance, or -5.0 points with 1.0% chance.
  Option P delivers either 4.0 points with unknown chance, 4.5 points with unknown chance, 5.5 points with unknown chance, 6.5 points with unknown chance, 7.5 points with unknown chance, 8.5 points with unknown chance, 9.5 points with unknown chance, 10.5 points with unknown chance, or 11.5 points with unknown chance.
  You press <<P>>. You receive 7.5 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<P>>. You receive 7.5 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<P>>. You receive 7.5 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<P>>. You receive 9.5 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<P>>. You receive 6.5 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  
  Option X delivers 23.0 points with 60.0% chance, or -39.0 points with 40.0% chance.
  Option P delivers -26.0 points with 10.0% chance, or -1.0 points with 90.0% chance.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received -39.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive -26.0 points by selecting this option. You would have received -39.0 points had you chosen the other option.
  You press <<P>>. You receive -26.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  
  Option X delivers 86.0 points with 5.0% chance, or -5.0 points with 95.0% chance.
  Option P delivers -20.0 points with 75.0% chance, 38.0 points with 12.5% chance, 40.0 points with 6.25% chance, 44.0 points with 3.125% chance, 52.0 points with 1.5625% chance, or 68.0 points with 1.5625% chance.
  You press <<P>>. You receive -20.0 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 -20.0 points had you chosen the other option.
  You press <<X>>. You receive -5.0 points by selecting this option. You would have received 38.0 points had you chosen the other option.
  You press <<X>>. You receive -5.0 points by selecting this option. You would have received -20.0 points had you chosen the other option.
  You press <<P>>. You receive 38.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  Option X delivers either -2.0 points with 100.0% chance, or -2.0 points with 0.0% chance.
  Option P delivers either -3.5 points with unknown chance, -2.5 points with unknown chance, -1.5 points with unknown chance, or -0.5 points with unknown chance.
  You press <<P>>. You receive -1.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive -2.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive -0.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive -1.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive -2.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option X delivers -8.0 points with 100.0% chance, or -8.0 points with 0.0% chance.
  Option P delivers -45.0 points with 50.0% chance, 38.5 points with 1.5625% chance, 39.5 points with 7.8125% chance, 40.5 points with 15.625% chance, 41.5 points with 15.625% chance, 42.5 points with 7.8125% chance, or 43.5 points with 1.5625% chance.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  You press <<X>>.
  
  Option X delivers 11.0 points with 80.0% chance, or 8.0 points with 20.0% chance.
  Option P delivers 10.0 points with 90.0% chance, or 53.0 points with 10.0% chance.
  You press <<P>>. You receive 10.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<P>>. You receive 10.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<P>>. You receive 10.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<P>>. You receive 10.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  You press <<P>>. You receive 10.0 points by selecting this option. You would have received 11.0 points had you chosen the other option.
  
  Option X delivers 13.0 points with 100.0% chance, or 13.0 points with 0.0% chance.
  Option P delivers 13.0 points with 95.0% chance, or 30.0 points with 5.0% chance.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<P>>. You receive 30.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  
  Option X delivers 14.0 points with 100.0% chance, or 14.0 points with 0.0% chance.
  Option P delivers 7.0 points with 75.0% chance, or 49.0 points with 25.0% chance.
  You press <<P>>. You receive 7.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<P>>. You receive 7.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<P>>. You receive 7.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<P>>. You receive 7.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<X>>. You receive 14.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.