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 65.0 points with 1.0% chance, or 25.0 points with 99.0% chance.
  Option K delivers 9.0 points with 60.0% chance, 45.5 points with 20.0% chance, or 46.5 points with 20.0% chance.
  You press <<K>>.
  You press <<P>>.
  You press <<K>>.
  You press <<P>>.
  You press <<K>>.
  
  Option P delivers 12.0 points with 60.0% chance, or -10.0 points with 40.0% chance.
  Option K delivers -1.0 points with 99.0% chance, or 34.0 points with 1.0% chance.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  
  Option P delivers either 2.0 points with 100.0% chance, or 2.0 points with 0.0% chance.
  Option K delivers either -2.0 points with unknown chance, 59.0 points with unknown chance, 57.0 points with unknown chance, 53.0 points with unknown chance, 45.0 points with unknown chance, 29.0 points with unknown chance, or -3.0 points with unknown chance.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<K>>. You receive -2.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option P delivers either 52.0 points with 5.0% chance, or 13.0 points with 95.0% chance.
  Option K delivers either -7.0 points with unknown chance, or 51.0 points with unknown chance.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  
  Option P delivers either 21.0 points with 100.0% chance, or 21.0 points with 0.0% chance.
  Option K delivers either 1.0 points with unknown chance, 41.5 points with unknown chance, 42.5 points with unknown chance, 43.5 points with unknown chance, 44.5 points with unknown chance, 45.5 points with unknown chance, 46.5 points with unknown chance, 47.5 points with unknown chance, or 48.5 points with unknown chance.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 43.5 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 44.5 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 45.5 points had you chosen the other option.
  
  Option P delivers 9.0 points with 95.0% chance, or 0.0 points with 5.0% chance.
  Option K delivers 7.0 points with 5.0% chance, 8.5 points with 11.875% chance, 9.5 points with 35.625% chance, 10.5 points with 35.625% chance, or 11.5 points with 11.875% chance.
  You press <<P>>. You receive 9.0 points by selecting this option. You would have received 9.5 points had you chosen the other option.
  You press <<P>>. You receive 9.0 points by selecting this option. You would have received 10.5 points had you chosen the other option.
  You press <<P>>. You receive 9.0 points by selecting this option. You would have received 9.5 points had you chosen the other option.
  You press <<K>>. You receive 9.5 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<K>>. You receive 8.5 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  
  Option P delivers -8.0 points with 100.0% chance, or -8.0 points with 0.0% chance.
  Option K delivers -25.0 points with 40.0% chance, or 21.0 points with 60.0% chance.
  You press <<K>>. You receive 21.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<K>>. You receive -25.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<P>>. You receive -8.0 points by selecting this option. You would have received -25.0 points had you chosen the other option.
  You press <<P>>. You receive -8.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<P>>. You receive -8.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  Option P delivers -5.0 points with 100.0% chance, or -5.0 points with 0.0% chance.
  Option K delivers -42.0 points with 5.0% chance, or -11.0 points with 95.0% 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 <<K>>. You receive -11.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<K>>. You receive -11.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<K>>. You receive -11.0 points by selecting this option. You would have received -5.0 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 P delivers 36.0 points with 75.0% chance, or 1.0 points with 25.0% chance.
  Option K delivers 15.0 points with 80.0% chance, or 73.0 points with 20.0% chance.
  You press <<P>>. You receive 36.0 points by selecting this option. You would have received 73.0 points had you chosen the other option.
  You press <<P>>. You receive 36.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<K>>. You receive 73.0 points by selecting this option. You would have received 36.0 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 <<K>>. You receive 15.0 points by selecting this option. You would have received 36.0 points had you chosen the other option.
  
  Option P delivers 12.0 points with 100.0% chance, or 12.0 points with 0.0% chance.
  Option K delivers -46.0 points with 60.0% chance, 103.5 points with 20.0% chance, or 104.5 points with 20.0% chance.
  You press <<P>>. You receive 12.0 points by selecting this option. You would have received -46.0 points had you chosen the other option.
  You press <<K>>. You receive -46.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<K>>. You receive 103.5 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<K>>. You receive -46.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<K>>. You receive 103.5 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  
  Option P delivers either 2.0 points with 100.0% chance, or 2.0 points with 0.0% chance.
  Option K delivers either -39.0 points with unknown chance, 66.0 points with unknown chance, 64.0 points with unknown chance, or 60.0 points with unknown chance.
  You press <<K>>. You receive 64.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<K>>. You receive -39.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -39.0 points had you chosen the other option.
  You press <<K>>. You receive -39.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -39.0 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 26.0 points with 60.0% chance, 36.5 points with 1.25% chance, 37.5 points with 6.25% chance, 38.5 points with 12.5% chance, 39.5 points with 12.5% chance, 40.5 points with 6.25% chance, or 41.5 points with 1.25% chance.
  You press <<K>>. You receive 26.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 26.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 26.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 26.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<K>>. You receive 26.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  
  Option P delivers 9.0 points with 99.0% chance, or 3.0 points with 1.0% chance.
  Option K delivers -3.0 points with 20.0% chance, or 7.0 points with 80.0% chance.
  You press <<P>>. You receive 9.0 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 9.0 points had you chosen the other option.
  You press <<K>>. You receive 7.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<K>>. You receive -3.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<K>>. You receive -3.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  
  Option P delivers 26.0 points with 100.0% chance, or 26.0 points with 0.0% chance.
  Option K delivers -16.0 points with 50.0% chance, 70.5 points with 1.5625% chance, 71.5 points with 7.8125% chance, 72.5 points with 15.625% chance, 73.5 points with 15.625% chance, 74.5 points with 7.8125% chance, or 75.5 points with 1.5625% chance.
  You press <<P>>. You receive 26.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<P>>. You receive 26.0 points by selecting this option. You would have received 72.5 points had you chosen the other option.
  You press <<P>>. You receive 26.0 points by selecting this option. You would have received 72.5 points had you chosen the other option.
  You press <<P>>. You receive 26.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<P>>. You receive 26.0 points by selecting this option. You would have received 70.5 points had you chosen the other option.
  
  Option P delivers either -2.0 points with 100.0% chance, or -2.0 points with 0.0% chance.
  Option K delivers either -7.0 points with unknown chance, or 9.0 points with unknown chance.
  You press <<P>>. You receive -2.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<P>>. You receive -2.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<P>>. You receive -2.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<P>>. You receive -2.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<P>>. You receive -2.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  
  Option P delivers 21.0 points with 100.0% chance, or 21.0 points with 0.0% chance.
  Option K delivers 6.0 points with 75.0% chance, 41.5 points with 0.7812% chance, 42.5 points with 3.9062% chance, 43.5 points with 7.8125% chance, 44.5 points with 7.8125% chance, 45.5 points with 3.9062% chance, or 46.5 points with 0.7812% chance.
  You press <<K>>. You receive 6.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<K>>. You receive 6.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<K>>. You receive 6.0 points by selecting this option. You would have received 21.0 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 -18.0 points with 20.0% chance, 24.5 points with 40.0% chance, or 25.5 points with 40.0% chance.
  You press <<P>>. You receive 17.0 points by selecting this option. You would have received 24.5 points had you chosen the other option.
  You press <<K>>. You receive 24.5 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 24.5 points had you chosen the other option.
  You press <<K>>. You receive 24.5 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 25.5 points had you chosen the other option.
  
  Option P delivers either 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option K delivers either 2.0 points with unknown chance, or 35.0 points with unknown chance.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  
  Option P delivers 0.0 points with 100.0% chance, or 0.0 points with 0.0% chance.
  Option K delivers 3.0 points with 50.0% chance, 1.0 points with 25.0% chance, -3.0 points with 12.5% chance, or -11.0 points with 12.5% chance.
  You press <<K>>. You receive -11.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<P>>. You receive 0.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<K>>. You receive 1.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<K>>. You receive -3.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<K>>. You receive 1.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.