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 Z delivers 7.0 points with 100.0% chance, or 7.0 points with 0.0% chance.
  Option X delivers 4.0 points with 90.0% chance, 8.5 points with 1.25% chance, 9.5 points with 3.75% chance, 10.5 points with 3.75% chance, or 11.5 points with 1.25% chance.
  You press <<Z>>. You receive 7.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<Z>>. You receive 7.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<Z>>. You receive 7.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<Z>>. You receive 7.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<Z>>. You receive 7.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  
  Option Z delivers either -6.0 points with 100.0% chance, or -6.0 points with 0.0% chance.
  Option X delivers either -11.0 points with unknown chance, or -2.0 points with unknown chance.
  You press <<X>>. You receive -2.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<X>>. You receive -11.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  
  Option Z delivers either 9.0 points with 50.0% chance, or -5.0 points with 50.0% chance.
  Option X delivers either -0.5 points with unknown chance, 0.5 points with unknown chance, 1.5 points with unknown chance, 2.5 points with unknown chance, 3.5 points with unknown chance, or 4.5 points with unknown chance.
  You press <<X>>. You receive 2.5 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive 2.5 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive 1.5 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<X>>. You receive 3.5 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<X>>. You receive 1.5 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  Option Z delivers 25.0 points with 80.0% chance, or 13.0 points with 20.0% chance.
  Option X delivers 29.0 points with 25.0% chance, or 34.0 points with 75.0% chance.
  You press <<Z>>. You receive 25.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<Z>>. You receive 13.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  You press <<Z>>. You receive 13.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  You press <<Z>>. You receive 13.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  You press <<Z>>. You receive 13.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  
  Option Z delivers -7.0 points with 100.0% chance, or -7.0 points with 0.0% chance.
  Option X delivers -34.0 points with 10.0% chance, 1.0 points with 45.0% chance, -1.0 points with 22.5% chance, -5.0 points with 11.25% chance, or -13.0 points with 11.25% chance.
  You press <<X>>. You receive 1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<X>>. You receive -1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<X>>. You receive 1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<X>>. You receive -1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<X>>. You receive -1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  
  Option Z delivers either 33.0 points with 40.0% chance, or -30.0 points with 60.0% chance.
  Option X delivers either -10.0 points with unknown chance, 88.0 points with unknown chance, or 86.0 points with unknown chance.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received -30.0 points had you chosen the other option.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received -30.0 points had you chosen the other option.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received -30.0 points had you chosen the other option.
  You press <<X>>. You receive -10.0 points by selecting this option. You would have received 33.0 points had you chosen the other option.
  You press <<Z>>. You receive -30.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  
  
  Option Z delivers 10.0 points with 100.0% chance, or 10.0 points with 0.0% chance.
  Option X delivers -7.0 points with 75.0% chance, 52.5 points with 0.1953% chance, 53.5 points with 1.3672% chance, 54.5 points with 4.1016% chance, 55.5 points with 6.8359% chance, 56.5 points with 6.8359% chance, 57.5 points with 4.1016% chance, 58.5 points with 1.3672% chance, or 59.5 points with 0.1953% chance.
  You press <<X>>. You receive -7.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<Z>>. You receive 10.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<Z>>. You receive 10.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<X>>. You receive 55.5 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<Z>>. You receive 10.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  
  
  
  Option Z delivers 17.0 points with 95.0% chance, or -29.0 points with 5.0% chance.
  Option X delivers 4.0 points with 95.0% chance, 66.5 points with 0.1562% chance, 67.5 points with 0.7812% chance, 68.5 points with 1.5625% chance, 69.5 points with 1.5625% chance, 70.5 points with 0.7812% chance, or 71.5 points with 0.1562% chance.
  You press <<Z>>. You receive 17.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<X>>. You receive 4.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<X>>. You receive 4.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Z>>. You receive 17.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<X>>. You receive 4.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  
  Option Z delivers either 3.0 points with 100.0% chance, or 3.0 points with 0.0% chance.
  Option X delivers either 2.5 points with unknown chance, or 3.5 points with unknown chance.
  You press <<X>>. You receive 2.5 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received 3.5 points had you chosen the other option.
  You press <<X>>. You receive 2.5 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received 3.5 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received 3.5 points had you chosen the other option.
  
  Option Z delivers 29.0 points with 100.0% chance, or 29.0 points with 0.0% chance.
  Option X delivers 16.0 points with 90.0% chance, or 78.0 points with 10.0% chance.
  You press <<Z>>. You receive 29.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<Z>>. You receive 29.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<Z>>. You receive 29.0 points by selecting this option. You would have received 78.0 points had you chosen the other option.
  You press <<X>>. You receive 16.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<X>>. You receive 16.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  
  Option Z delivers either -3.0 points with 90.0% chance, or -35.0 points with 10.0% chance.
  Option X delivers either -23.0 points with unknown chance, or -16.0 points with unknown chance.
  You press <<Z>>. You receive -3.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<Z>>. You receive -3.0 points by selecting this option. You would have received -23.0 points had you chosen the other option.
  You press <<Z>>. You receive -3.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<Z>>. You receive -3.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<Z>>. You receive -35.0 points by selecting this option. You would have received -23.0 points had you chosen the other option.
  
  Option Z delivers either 16.0 points with 40.0% chance, or -21.0 points with 60.0% chance.
  Option X delivers either -27.0 points with unknown chance, 39.5 points with unknown chance, or 40.5 points with unknown chance.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received -27.0 points had you chosen the other option.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received -27.0 points had you chosen the other option.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received 39.5 points had you chosen the other option.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received 40.5 points had you chosen the other option.
  You press <<Z>>. You receive -21.0 points by selecting this option. You would have received -27.0 points had you chosen the other option.
  
  Option Z delivers 37.0 points with 75.0% chance, or -43.0 points with 25.0% chance.
  Option X delivers 3.0 points with 50.0% chance, or 39.0 points with 50.0% chance.
  You press <<X>>. You receive 3.0 points by selecting this option. You would have received 37.0 points had you chosen the other option.
  You press <<Z>>. You receive 37.0 points by selecting this option. You would have received 39.0 points had you chosen the other option.
  You press <<Z>>. You receive 37.0 points by selecting this option. You would have received 39.0 points had you chosen the other option.
  You press <<Z>>. You receive 37.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<Z>>. You receive 37.0 points by selecting this option. You would have received 39.0 points had you chosen the other option.
  
  Option Z delivers 38.0 points with 10.0% chance, or 19.0 points with 90.0% chance.
  Option X delivers 21.0 points with 100.0% chance.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<X>>. You receive 21.0 points by selecting this option. You would have received 38.0 points had you chosen the other option.
  You press <<Z>>. You receive 19.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<Z>>. You receive 19.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  
  
  Option Z delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option X delivers 4.0 points with 20.0% chance, or 30.0 points with 80.0% chance.
  You press <<Z>>. You receive 27.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<Z>>. You receive 27.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<X>>. You receive 4.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 27.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<Z>>. You receive 27.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.