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 either 21.0 points with 95.0% chance, or 1.0 points with 5.0% chance.
  Option Y delivers either 3.0 points with unknown chance, or 26.0 points with unknown chance.
  You press <<P>>. You receive 1.0 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<Y>>. You receive 26.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<Y>>. You receive 3.0 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 26.0 points had you chosen the other option.
  You press <<Y>>. You receive 3.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  Option P delivers either 21.0 points with 90.0% chance, or 14.0 points with 10.0% chance.
  Option Y delivers either 13.0 points with unknown chance, 50.0 points with unknown chance, 48.0 points with unknown chance, 44.0 points with unknown chance, 36.0 points with unknown chance, 20.0 points with unknown chance, or -12.0 points with unknown chance.
  You press <<Y>>. You receive 50.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<Y>>. You receive 50.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<Y>>. You receive 13.0 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 13.0 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 Y delivers either -7.0 points with unknown chance, or 111.0 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 <<Y>>. You receive -7.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Y>>. You receive -7.0 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 -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 either 20.0 points with 100.0% chance, or 20.0 points with 0.0% chance.
  Option Y delivers either 8.0 points with unknown chance, 22.5 points with unknown chance, 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, 28.5 points with unknown chance, or 29.5 points with unknown chance.
  You press <<Y>>. You receive 27.5 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 8.0 points had you chosen the other option.
  You press <<Y>>. You receive 25.5 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<Y>>. You receive 8.0 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 8.0 points had you chosen the other option.
  
  
  Option P delivers -7.0 points with 100.0% chance, or -7.0 points with 0.0% chance.
  Option Y delivers -12.0 points with 25.0% chance, 4.5 points with 0.5859% chance, 5.5 points with 4.1016% chance, 6.5 points with 12.3047% chance, 7.5 points with 20.5078% chance, 8.5 points with 20.5078% chance, 9.5 points with 12.3047% chance, 10.5 points with 4.1016% chance, or 11.5 points with 0.5859% chance.
  You press <<Y>>.
  You press <<P>>.
  You press <<P>>.
  You press <<Y>>.
  You press <<P>>.
  
  Option P delivers -8.0 points with 100.0% chance, or -8.0 points with 0.0% chance.
  Option Y delivers -6.0 points with 40.0% chance, -10.0 points with 30.0% chance, -8.0 points with 15.0% chance, -4.0 points with 7.5% chance, 4.0 points with 3.75% chance, 20.0 points with 1.875% chance, 52.0 points with 0.9375% chance, or 116.0 points with 0.9375% chance.
  You press <<Y>>. You receive -8.0 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 -10.0 points had you chosen the other option.
  You press <<P>>. You receive -8.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<Y>>. You receive -6.0 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 -10.0 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 Y delivers either -46.0 points with unknown chance, or 31.0 points with unknown chance.
  You press <<Y>>. You receive -46.0 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 31.0 points had you chosen the other option.
  You press <<P>>. You receive -10.0 points by selecting this option. You would have received -46.0 points had you chosen the other option.
  You press <<Y>>. You receive 31.0 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 31.0 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 Y delivers 9.0 points with 95.0% chance, or 48.0 points with 5.0% chance.
  You press <<P>>. You receive 12.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<Y>>. You receive 9.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<Y>>. You receive 9.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<P>>. You receive 12.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<P>>. You receive 12.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  
  
  Option P delivers either 52.0 points with 25.0% chance, or -16.0 points with 75.0% chance.
  Option Y delivers either -13.0 points with unknown chance, or 32.0 points with unknown chance.
  You press <<Y>>. You receive -13.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<P>>. You receive -16.0 points by selecting this option. You would have received 32.0 points had you chosen the other option.
  You press <<P>>. You receive -16.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<P>>. You receive -16.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<Y>>. You receive 32.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  
  Option P delivers 58.0 points with 20.0% chance, or 19.0 points with 80.0% chance.
  Option Y delivers 32.0 points with 5.0% chance, 33.5 points with 11.875% chance, 34.5 points with 35.625% chance, 35.5 points with 35.625% chance, or 36.5 points with 11.875% chance.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 34.5 points had you chosen the other option.
  You press <<Y>>. You receive 35.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<Y>>. You receive 35.5 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 36.5 points had you chosen the other option.
  You press <<P>>. You receive 19.0 points by selecting this option. You would have received 32.0 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 Y delivers -1.0 points with 90.0% chance, 71.0 points with 5.0% chance, or 69.0 points with 5.0% chance.
  You press <<P>>. You receive 6.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Y>>. You receive -1.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<Y>>. You receive -1.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<Y>>. You receive -1.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<Y>>. You receive -1.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  
  Option P delivers 51.0 points with 50.0% chance, or -5.0 points with 50.0% chance.
  Option Y delivers 3.0 points with 75.0% chance, or 65.0 points with 25.0% chance.
  You press <<Y>>.
  You press <<P>>.
  You press <<P>>.
  You press <<Y>>.
  You press <<P>>.
  
  Option P delivers 8.0 points with 100.0% chance, or 8.0 points with 0.0% chance.
  Option Y delivers 12.0 points with 95.0% chance, or 46.0 points with 5.0% chance.
  You press <<P>>. You receive 8.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<P>>. You receive 8.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<Y>>. You receive 12.0 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 12.0 points had you chosen the other option.
  You press <<P>>. You receive 8.0 points by selecting this option. You would have received 12.0 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 Y delivers -5.0 points with 50.0% chance, 17.5 points with 1.5625% chance, 18.5 points with 7.8125% chance, 19.5 points with 15.625% chance, 20.5 points with 15.625% chance, 21.5 points with 7.8125% chance, or 22.5 points with 1.5625% chance.
  You press <<P>>. You receive 8.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<Y>>. You receive 19.5 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Y>>. You receive 22.5 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 20.5 points had you chosen the other option.
  You press <<P>>. You receive 8.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  Option P delivers either 39.0 points with 40.0% chance, or -23.0 points with 60.0% chance.
  Option Y delivers either -31.0 points with unknown chance, or 17.0 points with unknown chance.
  You press <<P>>. You receive -23.0 points by selecting this option. You would have received -31.0 points had you chosen the other option.
  You press <<Y>>. You receive -31.0 points by selecting this option. You would have received -23.0 points had you chosen the other option.
  You press <<P>>. You receive -23.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Y>>. You receive -31.0 points by selecting this option. You would have received -23.0 points had you chosen the other option.
  You press <<P>>. You receive -23.0 points by selecting this option. You would have received -31.0 points had you chosen the other option.
  
  
  Option P delivers either 17.0 points with 100.0% chance, or 17.0 points with 0.0% chance.
  Option Y delivers either -20.0 points with unknown chance, or 24.0 points with unknown chance.
  You press <<Y>>.
  You press <<P>>.
  You press <<P>>.
  You press <<Y>>.
  You press <<P>>.
  
  Option P delivers 57.0 points with 5.0% chance, or -14.0 points with 95.0% chance.
  Option Y delivers -13.0 points with 5.0% chance, or -10.0 points with 95.0% chance.
  You press <<P>>.
  You press <<Y>>.
  You press <<P>>.
  You press <<Y>>.
  You press <<P>>.