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 either 61.0 points with 20.0% chance, or -9.0 points with 80.0% chance.
  Option Z delivers either -6.0 points with unknown chance, -4.5 points with unknown chance, -3.5 points with unknown chance, -2.5 points with unknown chance, -1.5 points with unknown chance, -0.5 points with unknown chance, 0.5 points with unknown chance, 1.5 points with unknown chance, or 2.5 points with unknown chance.
  You press <<Z>>. You receive 0.5 points by selecting this option. You would have received 61.0 points had you chosen the other option.
  You press <<K>>. You receive -9.0 points by selecting this option. You would have received -1.5 points had you chosen the other option.
  You press <<Z>>. You receive -1.5 points by selecting this option. You would have received 61.0 points had you chosen the other option.
  You press <<K>>. You receive -9.0 points by selecting this option. You would have received -0.5 points had you chosen the other option.
  You press <<K>>. You receive -9.0 points by selecting this option. You would have received -0.5 points had you chosen the other option.
  
  Option K delivers either -7.0 points with 100.0% chance, or -7.0 points with 0.0% chance.
  Option Z delivers either -5.0 points with unknown chance, or 19.0 points with unknown chance.
  You press <<Z>>. You receive -5.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<Z>>. You receive -5.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<Z>>. You receive -5.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<K>>. You receive -7.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<K>>. You receive -7.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  Option K delivers 24.0 points with 100.0% chance, or 24.0 points with 0.0% chance.
  Option Z delivers 25.0 points with 90.0% chance, 25.5 points with 0.3125% chance, 26.5 points with 1.5625% chance, 27.5 points with 3.125% chance, 28.5 points with 3.125% chance, 29.5 points with 1.5625% chance, or 30.5 points with 0.3125% chance.
  You press <<K>>. You receive 24.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<Z>>. You receive 25.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<Z>>. You receive 25.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<Z>>. You receive 25.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<Z>>. You receive 25.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  
  
  Option K delivers 19.0 points with 99.0% chance, or 14.0 points with 1.0% chance.
  Option Z delivers 22.0 points with 95.0% chance, 39.0 points with 2.5% chance, 37.0 points with 1.25% chance, or 33.0 points with 1.25% chance.
  You press <<Z>>. You receive 22.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<Z>>. You receive 22.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<Z>>. You receive 22.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<Z>>. You receive 22.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<Z>>. You receive 37.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  
  Option K delivers 21.0 points with 40.0% chance, or 19.0 points with 60.0% chance.
  Option Z delivers 20.0 points with 25.0% chance, 29.5 points with 9.375% chance, 30.5 points with 28.125% chance, 31.5 points with 28.125% chance, or 32.5 points with 9.375% chance.
  You press <<Z>>. You receive 32.5 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<Z>>. You receive 30.5 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<Z>>. You receive 31.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<Z>>. You receive 32.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<Z>>. You receive 31.5 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  
  Option K delivers 23.0 points with 100.0% chance, or 23.0 points with 0.0% chance.
  Option Z delivers -22.0 points with 1.0% chance, 18.5 points with 12.375% chance, 19.5 points with 37.125% chance, 20.5 points with 37.125% chance, or 21.5 points with 12.375% chance.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 18.5 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 19.5 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 20.5 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 19.5 points had you chosen the other option.
  You press <<K>>. You receive 23.0 points by selecting this option. You would have received 19.5 points had you chosen the other option.
  
  Option K delivers either 19.0 points with 90.0% chance, or 18.0 points with 10.0% chance.
  Option Z delivers either -20.0 points with unknown chance, or 16.0 points with unknown chance.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  
  Option K delivers 20.0 points with 80.0% chance, or -7.0 points with 20.0% chance.
  Option Z delivers -22.0 points with 60.0% chance, 71.0 points with 20.0% chance, 73.0 points with 10.0% chance, or 77.0 points with 10.0% chance.
  You press <<K>>. You receive 20.0 points by selecting this option. You would have received 73.0 points had you chosen the other option.
  You press <<K>>. You receive 20.0 points by selecting this option. You would have received 71.0 points had you chosen the other option.
  You press <<Z>>. You receive -22.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<K>>. You receive 20.0 points by selecting this option. You would have received -22.0 points had you chosen the other option.
  You press <<K>>. You receive 20.0 points by selecting this option. You would have received 73.0 points had you chosen the other option.
  
  Option K delivers either 31.0 points with 90.0% chance, or -11.0 points with 10.0% chance.
  Option Z delivers either 20.0 points with unknown chance, 95.5 points with unknown chance, 96.5 points with unknown chance, 97.5 points with unknown chance, 98.5 points with unknown chance, 99.5 points with unknown chance, or 100.5 points with unknown chance.
  You press <<Z>>. You receive 20.0 points by selecting this option. You would have received 31.0 points had you chosen the other option.
  You press <<K>>. You receive 31.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<K>>. You receive 31.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<K>>. You receive 31.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<K>>. You receive 31.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option K delivers 3.0 points with 100.0% chance, or 3.0 points with 0.0% chance.
  Option Z delivers 1.0 points with 75.0% chance, or 33.0 points with 25.0% chance.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  
  Option K delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option Z delivers -12.0 points with 20.0% chance, 37.5 points with 10.0% chance, 38.5 points with 30.0% chance, 39.5 points with 30.0% chance, or 40.5 points with 10.0% chance.
  You press <<Z>>. You receive 37.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 39.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive -12.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 39.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 39.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  
  Option K delivers either 103.0 points with 25.0% chance, or -17.0 points with 75.0% chance.
  Option Z delivers either 12.0 points with unknown chance, or 14.0 points with unknown chance.
  You press <<Z>>. You receive 14.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<Z>>. You receive 12.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<Z>>. You receive 14.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<Z>>. You receive 12.0 points by selecting this option. You would have received 103.0 points had you chosen the other option.
  You press <<Z>>. You receive 14.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  
  Option K delivers 17.0 points with 100.0% chance, or 17.0 points with 0.0% chance.
  Option Z delivers 14.0 points with 80.0% chance, or 22.0 points with 20.0% chance.
  You press <<Z>>. You receive 14.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<K>>. You receive 17.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<K>>. You receive 17.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<K>>. You receive 17.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<K>>. You receive 17.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  
  Option K delivers either 32.0 points with 10.0% chance, or 26.0 points with 90.0% chance.
  Option Z delivers either 20.0 points with unknown chance, 87.0 points with unknown chance, or 89.0 points with unknown chance.
  You press <<Z>>. You receive 20.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<Z>>. You receive 20.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<Z>>. You receive 20.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<Z>>. You receive 20.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<K>>. You receive 26.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option K delivers 51.0 points with 25.0% chance, or 3.0 points with 75.0% chance.
  Option Z delivers 3.0 points with 75.0% chance, 46.5 points with 3.125% chance, 47.5 points with 9.375% chance, 48.5 points with 9.375% chance, or 49.5 points with 3.125% chance.
  You press <<K>>. You receive 3.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<K>>. You receive 51.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<K>>. You receive 3.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<K>>. You receive 3.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<K>>. You receive 3.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  
  Option K delivers either 13.0 points with 50.0% chance, or -29.0 points with 50.0% chance.
  Option Z delivers either -11.0 points with unknown chance, or 1.0 points with unknown chance.
  You press <<Z>>. You receive -11.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<K>>. You receive -29.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<K>>. You receive -29.0 points by selecting this option. You would have received -11.0 points had you chosen the other option.
  You press <<K>>. You receive 13.0 points by selecting this option. You would have received -11.0 points had you chosen the other option.
  You press <<Z>>. You receive 1.0 points by selecting this option. You would have received -29.0 points had you chosen the other option.
  
  Option K delivers either -4.0 points with 80.0% chance, or -9.0 points with 20.0% chance.
  Option Z delivers either -26.0 points with unknown chance, 60.0 points with unknown chance, 62.0 points with unknown chance, 66.0 points with unknown chance, or 74.0 points with unknown chance.
  You press <<Z>>. You receive -26.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -26.0 points had you chosen the other option.