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 P delivers 15.0 points with 100.0% chance, or 15.0 points with 0.0% chance.
  Option K delivers -27.0 points with 20.0% chance, 19.0 points with 40.0% chance, 21.0 points with 20.0% chance, or 25.0 points with 20.0% chance.
  You press <<P>>. You receive 15.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<K>>. You receive 19.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<K>>. You receive 21.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<K>>. You receive 19.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  
  Option P delivers -10.0 points with 100.0% chance, or -10.0 points with 0.0% chance.
  Option K delivers -45.0 points with 80.0% chance, or 116.0 points with 20.0% chance.
  You press <<K>>. You receive -45.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received -45.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received -45.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received 116.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received -45.0 points had you chosen the other option.
  
  Option P delivers 19.0 points with 100.0% chance, or 19.0 points with 0.0% chance.
  Option K delivers -22.0 points with 40.0% chance, 36.5 points with 7.5% chance, 37.5 points with 22.5% chance, 38.5 points with 22.5% chance, or 39.5 points with 7.5% chance.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 38.5 points had you chosen the other option.
  You press <<K>>. You receive 37.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<K>>. You receive 38.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<K>>. You receive 38.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<K>>. You receive -22.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  
  Option P delivers -6.0 points with 100.0% chance, or -6.0 points with 0.0% chance.
  Option K delivers -17.0 points with 20.0% chance, or -6.0 points with 80.0% chance.
  You press <<K>>. You receive -6.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<K>>. You receive -17.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<P>>. You receive -6.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<P>>. You receive -6.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<P>>. You receive -6.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  
  Option P delivers 25.0 points with 60.0% chance, or 2.0 points with 40.0% chance.
  Option K delivers 2.0 points with 20.0% chance, 10.5 points with 0.625% chance, 11.5 points with 4.375% chance, 12.5 points with 13.125% chance, 13.5 points with 21.875% chance, 14.5 points with 21.875% chance, 15.5 points with 13.125% chance, 16.5 points with 4.375% chance, or 17.5 points with 0.625% chance.
  You press <<K>>. You receive 16.5 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received 13.5 points had you chosen the other option.
  You press <<K>>. You receive 12.5 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received 12.5 points had you chosen the other option.
  You press <<K>>. You receive 14.5 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  
  Option P delivers either 20.0 points with 100.0% chance, or 20.0 points with 0.0% chance.
  Option K delivers either -22.0 points with unknown chance, or 35.0 points with unknown chance.
  You press <<K>>. You receive -22.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<P>>. You receive 20.0 points by selecting this option. You would have received -22.0 points had you chosen the other option.
  You press <<P>>. You receive 20.0 points by selecting this option. You would have received 35.0 points had you chosen the other option.
  You press <<K>>. You receive 35.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<K>>. You receive 35.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option P delivers 17.0 points with 100.0% chance, or 17.0 points with 0.0% chance.
  Option K delivers -19.0 points with 1.0% chance, 8.0 points with 49.5% chance, 10.0 points with 24.75% chance, 14.0 points with 12.375% chance, 22.0 points with 6.1875% chance, or 38.0 points with 6.1875% chance.
  You press <<P>>. You receive 17.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<K>>. 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 14.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<P>>. You receive 17.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  
  Option P delivers 1.0 points with 100.0% chance, or 1.0 points with 0.0% chance.
  Option K delivers 1.0 points with 25.0% chance, or 15.0 points with 75.0% chance.
  You press <<K>>. You receive 15.0 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 1.0 points had you chosen the other option.
  You press <<K>>. You receive 15.0 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 15.0 points had you chosen the other option.
  You press <<K>>. You receive 15.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  
  Option P delivers 4.0 points with 100.0% chance, or 4.0 points with 0.0% chance.
  Option K delivers 1.0 points with 99.0% chance, 72.0 points with 0.5% chance, 70.0 points with 0.25% chance, 66.0 points with 0.125% chance, 58.0 points with 0.0625% chance, 42.0 points with 0.0312% chance, or 10.0 points with 0.0312% chance.
  You press <<K>>. You receive 1.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<P>>. You receive 4.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<P>>. You receive 4.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<P>>. You receive 4.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<K>>. You receive 1.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  
  Option P delivers 14.0 points with 25.0% chance, or 1.0 points with 75.0% chance.
  Option K delivers -13.0 points with 75.0% chance, or 18.0 points with 25.0% chance.
  You press <<P>>. You receive 1.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<K>>. You receive -13.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<P>>. You receive 1.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<P>>. You receive 1.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<K>>. You receive -13.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  
  Option P delivers 58.0 points with 1.0% chance, or 28.0 points with 99.0% chance.
  Option K delivers 18.0 points with 80.0% chance, or 29.0 points with 20.0% chance.
  You press <<P>>.
  You press <<K>>.
  You press <<P>>.
  You press <<P>>.
  You press <<K>>.
  
  Option P delivers 24.0 points with 100.0% chance, or 24.0 points with 0.0% chance.
  Option K delivers 6.0 points with 20.0% chance, or 15.0 points with 80.0% chance.
  You press <<P>>.
  You press <<P>>.
  You press <<K>>.
  You press <<K>>.
  You press <<P>>.
  
  Option P delivers 16.0 points with 40.0% chance, or -6.0 points with 60.0% chance.
  Option K delivers 1.5 points with 12.5% chance, 2.5 points with 37.5% chance, 3.5 points with 37.5% chance, or 4.5 points with 12.5% chance.
  You press <<K>>. You receive 2.5 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<P>>. You receive -6.0 points by selecting this option. You would have received 1.5 points had you chosen the other option.
  You press <<P>>. You receive -6.0 points by selecting this option. You would have received 3.5 points had you chosen the other option.
  You press <<K>>. You receive 2.5 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<K>>. You receive 2.5 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  
  Option P delivers 1.0 points with 100.0% chance, or 1.0 points with 0.0% chance.
  Option K delivers -11.0 points with 75.0% chance, 24.5 points with 3.125% chance, 25.5 points with 9.375% chance, 26.5 points with 9.375% chance, or 27.5 points with 3.125% chance.
  You press <<P>>. You receive 1.0 points by selecting this option. You would have received 25.5 points had you chosen the other option.
  You press <<K>>. You receive 25.5 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<K>>. You receive -11.0 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 -11.0 points had you chosen the other option.
  You press <<K>>. You receive 25.5 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  
  Option P delivers either 16.0 points with 100.0% chance, or 16.0 points with 0.0% chance.
  Option K delivers either 2.0 points with unknown chance, 70.5 points with unknown chance, 71.5 points with unknown chance, 72.5 points with unknown chance, 73.5 points with unknown chance, 74.5 points with unknown chance, or 75.5 points with unknown chance.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<P>>.
  
  Option P delivers either 1.0 points with 100.0% chance, or 1.0 points with 0.0% chance.
  Option K delivers either 5.0 points with unknown chance, 12.0 points with unknown chance, 10.0 points with unknown chance, 6.0 points with unknown chance, or -2.0 points with unknown chance.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<K>>. You receive -2.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<K>>. You receive 5.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<K>>. You receive 10.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  
  Option P delivers 65.0 points with 1.0% chance, or 16.0 points with 99.0% chance.
  Option K delivers -17.0 points with 50.0% chance, or 55.0 points with 50.0% chance.
  You press <<K>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  
  Option P delivers -2.0 points with 10.0% chance, or -8.0 points with 90.0% chance.
  Option K delivers -31.0 points with 1.0% chance, or -3.0 points with 99.0% chance.
  You press <<P>>. You receive -8.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<P>>. You receive -8.0 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 -8.0 points had you chosen the other option.
  You press <<K>>. You receive -3.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<K>>. You receive -3.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  
  Option P delivers 29.0 points with 100.0% chance, or 29.0 points with 0.0% chance.
  Option K delivers 17.0 points with 60.0% chance, 61.5 points with 5.0% chance, 62.5 points with 15.0% chance, 63.5 points with 15.0% chance, or 64.5 points with 5.0% chance.
  You press <<K>>. You receive 63.5 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 63.5 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 17.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 62.5 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 17.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  
  Option P delivers either -10.0 points with 100.0% chance, or -10.0 points with 0.0% chance.
  Option K delivers either -14.0 points with unknown chance, or -5.0 points with unknown chance.
  You press <<K>>. You receive -14.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<K>>. You receive -14.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.