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 63.0 points with 10.0% chance, or 22.0 points with 90.0% chance.
  Option P delivers either 23.5 points with unknown chance, 24.5 points with unknown chance, 25.5 points with unknown chance, 26.5 points with unknown chance, 27.5 points with unknown chance, or 28.5 points with unknown chance.
  You press <<K>>. You receive 63.0 points by selecting this option. You would have received 27.5 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received 25.5 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received 26.5 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received 26.5 points had you chosen the other option.
  You press <<K>>. You receive 22.0 points by selecting this option. You would have received 26.5 points had you chosen the other option.
  
  Option K delivers 20.0 points with 100.0% chance, or 20.0 points with 0.0% chance.
  Option P delivers 25.0 points with 95.0% chance, 79.5 points with 0.625% chance, 80.5 points with 1.875% chance, 81.5 points with 1.875% chance, or 82.5 points with 0.625% chance.
  You press <<P>>. You receive 25.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<P>>. You receive 25.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<P>>. You receive 25.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<P>>. You receive 25.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<P>>. You receive 25.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option K delivers -5.0 points with 80.0% chance, or -9.0 points with 20.0% chance.
  Option P delivers -6.0 points with 100.0% chance.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<K>>. You receive -5.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  
  Option K delivers 63.0 points with 25.0% chance, or 3.0 points with 75.0% chance.
  Option P delivers 12.0 points with 20.0% chance, or 19.0 points with 80.0% chance.
  You press <<K>>.
  You press <<P>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  
  Option K delivers -1.0 points with 100.0% chance, or -1.0 points with 0.0% chance.
  Option P delivers -7.0 points with 80.0% chance, or 2.0 points with 20.0% chance.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<K>>. You receive -1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  
  Option K delivers 13.0 points with 100.0% chance, or 13.0 points with 0.0% chance.
  Option P delivers -11.0 points with 10.0% chance, 10.5 points with 0.7031% chance, 11.5 points with 4.9219% chance, 12.5 points with 14.7656% chance, 13.5 points with 24.6094% chance, 14.5 points with 24.6094% chance, 15.5 points with 14.7656% chance, 16.5 points with 4.9219% chance, or 17.5 points with 0.7031% chance.
  You press <<K>>. You receive 13.0 points by selecting this option. You would have received 13.5 points had you chosen the other option.
  You press <<K>>. You receive 13.0 points by selecting this option. You would have received 12.5 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 <<K>>. You receive 13.0 points by selecting this option. You would have received 13.5 points had you chosen the other option.
  You press <<K>>. You receive 13.0 points by selecting this option. You would have received 10.5 points had you chosen the other option.
  
  Option K delivers -8.0 points with 60.0% chance, or -13.0 points with 40.0% chance.
  Option P delivers -2.0 points with 20.0% chance, or -1.0 points with 80.0% 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 <<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 <<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 <<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 <<P>>. You receive -1.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  
  Option K delivers 19.0 points with 100.0% chance, or 19.0 points with 0.0% chance.
  Option P delivers 7.0 points with 5.0% chance, or 21.0 points with 95.0% chance.
  You press <<K>>. You receive 19.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<K>>. You receive 19.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<K>>. You receive 19.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<K>>. You receive 19.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<K>>. You receive 19.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  Option K delivers 16.0 points with 1.0% chance, or 4.0 points with 99.0% chance.
  Option P delivers -9.0 points with 80.0% chance, or 58.0 points with 20.0% chance.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  
  Option K delivers 2.0 points with 100.0% chance, or 2.0 points with 0.0% chance.
  Option P delivers -15.0 points with 95.0% chance, 89.0 points with 2.5% chance, 87.0 points with 1.25% chance, or 83.0 points with 1.25% chance.
  You press <<K>>. You receive 2.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<K>>. You receive 2.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<K>>. You receive 2.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<K>>. You receive 2.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<K>>. You receive 2.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  
  Option K delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option P delivers 16.0 points with 80.0% chance, or 27.0 points with 20.0% chance.
  You press <<K>>. You receive 27.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<K>>. You receive 27.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<K>>. You receive 27.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<K>>. You receive 27.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<K>>. You receive 27.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  
  Option K delivers 0.0 points with 99.0% chance, or -28.0 points with 1.0% chance.
  Option P delivers -1.0 points with 95.0% chance, or 54.0 points with 5.0% chance.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<P>>. You receive -1.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  
  Option K delivers either -4.0 points with 100.0% chance, or -4.0 points with 0.0% chance.
  Option P delivers either -33.0 points with unknown chance, 72.0 points with unknown chance, 74.0 points with unknown chance, 78.0 points with unknown chance, 86.0 points with unknown chance, 102.0 points with unknown chance, or 134.0 points with unknown chance.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -33.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -33.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received 72.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -33.0 points had you chosen the other option.
  You press <<K>>. You receive -4.0 points by selecting this option. You would have received -33.0 points had you chosen the other option.
  
  Option K delivers 25.0 points with 100.0% chance, or 25.0 points with 0.0% chance.
  Option P delivers 17.0 points with 25.0% chance, 25.5 points with 0.5859% chance, 26.5 points with 4.1016% chance, 27.5 points with 12.3047% chance, 28.5 points with 20.5078% chance, 29.5 points with 20.5078% chance, 30.5 points with 12.3047% chance, 31.5 points with 4.1016% chance, or 32.5 points with 0.5859% chance.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 29.5 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 27.5 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 30.5 points had you chosen the other option.
  You press <<K>>. You receive 25.0 points by selecting this option. You would have received 30.5 points had you chosen the other option.
  
  Option K delivers 18.0 points with 99.0% chance, or -17.0 points with 1.0% chance.
  Option P delivers -17.0 points with 5.0% chance, or 22.0 points with 95.0% chance.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  You press <<K>>.
  
  Option K delivers either 10.0 points with 90.0% chance, or -13.0 points with 10.0% chance.
  Option P delivers either 16.0 points with unknown chance, or 19.0 points with unknown chance.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<P>>. You receive 16.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  
  Option K delivers 4.0 points with 100.0% chance, or 4.0 points with 0.0% chance.
  Option P delivers 8.0 points with 75.0% chance, 30.0 points with 12.5% chance, 28.0 points with 6.25% chance, 24.0 points with 3.125% chance, 16.0 points with 1.5625% chance, 0.0 points with 0.7812% chance, or -32.0 points with 0.7812% chance.
  You press <<K>>. You receive 4.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<K>>. You receive 4.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<K>>. You receive 4.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<K>>. You receive 4.0 points by selecting this option. You would have received -32.0 points had you chosen the other option.
  You press <<K>>. You receive 4.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  Option K delivers either 12.0 points with 100.0% chance, or 12.0 points with 0.0% chance.
  Option P delivers either 19.0 points with unknown chance, 32.5 points with unknown chance, or 33.5 points with unknown chance.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  
  Option K delivers 69.0 points with 10.0% chance, or 13.0 points with 90.0% chance.
  Option P delivers 19.0 points with 75.0% chance, 36.0 points with 12.5% chance, 38.0 points with 6.25% chance, 42.0 points with 3.125% chance, 50.0 points with 1.5625% chance, or 66.0 points with 1.5625% chance.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  
  Option K delivers 10.0 points with 100.0% chance, or 10.0 points with 0.0% chance.
  Option P delivers -9.0 points with 75.0% chance, or 57.0 points with 25.0% chance.
  You press <<K>>. You receive 10.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<K>>. You receive 10.0 points by selecting this option. You would have received 57.0 points had you chosen the other option.
  You press <<K>>. You receive 10.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<K>>. You receive 10.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<K>>. You receive 10.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.