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 Y delivers 10.0 points with 100.0% chance, or 10.0 points with 0.0% chance.
  Option Q delivers 7.0 points with 80.0% chance, or 43.0 points with 20.0% chance.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  
  Option Y delivers either 92.0 points with 20.0% chance, or -8.0 points with 80.0% chance.
  Option Q delivers either 17.0 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, 75.5 points with unknown chance, or 76.5 points with unknown chance.
  You press <<Q>>. You receive 17.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<Q>>. You receive 17.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<Q>>. You receive 17.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<Q>>. You receive 17.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<Q>>. You receive 17.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  
  Option Y delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option Q delivers 28.0 points with 99.0% chance, 61.0 points with 0.5% chance, 63.0 points with 0.25% chance, 67.0 points with 0.125% chance, or 75.0 points with 0.125% chance.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<Q>>. You receive 28.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Q>>. You receive 28.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Q>>. You receive 28.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  
  Option Y delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option Q delivers -6.0 points with 50.0% chance, 52.5 points with 6.25% chance, 53.5 points with 18.75% chance, 54.5 points with 18.75% chance, or 55.5 points with 6.25% chance.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 54.5 points had you chosen the other option.
  You press <<Q>>. You receive -6.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Q>>. You receive -6.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  
  Option Y delivers -1.0 points with 100.0% chance, or -1.0 points with 0.0% chance.
  Option Q delivers -43.0 points with 25.0% chance, 21.5 points with 2.3438% chance, 22.5 points with 11.7188% chance, 23.5 points with 23.4375% chance, 24.5 points with 23.4375% chance, 25.5 points with 11.7188% chance, or 26.5 points with 2.3438% chance.
  You press <<Q>>. You receive 24.5 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Q>>. You receive 21.5 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Q>>. You receive 24.5 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Q>>. You receive 24.5 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Q>>. You receive -43.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  
  Option Y delivers either 29.0 points with 100.0% chance, or 29.0 points with 0.0% chance.
  Option Q delivers either 31.0 points with unknown chance, or 68.0 points with unknown chance.
  You press <<Y>>. You receive 29.0 points by selecting this option. You would have received 31.0 points had you chosen the other option.
  You press <<Y>>. You receive 29.0 points by selecting this option. You would have received 31.0 points had you chosen the other option.
  You press <<Q>>. You receive 31.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<Q>>. You receive 31.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<Q>>. You receive 31.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  
  Option Y delivers 32.0 points with 50.0% chance, or 8.0 points with 50.0% chance.
  Option Q delivers 17.0 points with 20.0% chance, or 24.0 points with 80.0% chance.
  You press <<Y>>. You receive 32.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Y>>. You receive 8.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<Y>>. You receive 8.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Y>>. You receive 8.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Q>>. You receive 24.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  Option Y delivers 23.0 points with 100.0% chance, or 23.0 points with 0.0% chance.
  Option Q delivers 6.0 points with 75.0% chance, or 68.0 points with 25.0% chance.
  You press <<Y>>. You receive 23.0 points by selecting this option. You would have received 68.0 points had you chosen the other option.
  You press <<Y>>. You receive 23.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<Y>>. You receive 23.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<Y>>. You receive 23.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<Y>>. You receive 23.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  
  Option Y delivers 3.0 points with 25.0% chance, or -2.0 points with 75.0% chance.
  Option Q delivers -3.5 points with 3.125% chance, -2.5 points with 15.625% chance, -1.5 points with 31.25% chance, -0.5 points with 31.25% chance, 0.5 points with 15.625% chance, or 1.5 points with 3.125% chance.
  You press <<Q>>. You receive -1.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Q>>. You receive 0.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Q>>. You receive -0.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Q>>. You receive -2.5 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<Q>>. You receive -1.5 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option Y delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option Q delivers 8.0 points with 1.0% chance, or 28.0 points with 99.0% chance.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 28.0 points had you chosen the other option.
  
  Option Y delivers 25.0 points with 80.0% chance, or 2.0 points with 20.0% chance.
  Option Q delivers -5.0 points with 60.0% chance, 79.5 points with 20.0% chance, or 80.5 points with 20.0% chance.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 79.5 points had you chosen the other option.
  You press <<Q>>. You receive -5.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 79.5 points had you chosen the other option.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  Option Y delivers 18.0 points with 100.0% chance, or 18.0 points with 0.0% chance.
  Option Q delivers 25.0 points with 80.0% chance, 33.5 points with 10.0% chance, or 34.5 points with 10.0% chance.
  You press <<Q>>. You receive 25.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<Q>>. You receive 25.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<Q>>. You receive 34.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<Q>>. You receive 25.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<Q>>. You receive 33.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  
  Option Y delivers 15.0 points with 100.0% chance, or 15.0 points with 0.0% chance.
  Option Q delivers -49.0 points with 40.0% chance, 54.5 points with 0.4688% chance, 55.5 points with 3.2812% chance, 56.5 points with 9.8438% chance, 57.5 points with 16.4062% chance, 58.5 points with 16.4062% chance, 59.5 points with 9.8438% chance, 60.5 points with 3.2812% chance, or 61.5 points with 0.4688% chance.
  You press <<Y>>.
  You press <<Q>>.
  You press <<Q>>.
  You press <<Q>>.
  You press <<Q>>.
  
  Option Y delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option Q delivers -34.0 points with 60.0% chance, 95.5 points with 5.0% chance, 96.5 points with 15.0% chance, 97.5 points with 15.0% chance, or 98.5 points with 5.0% chance.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received -34.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received -34.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received -34.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 97.5 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received -34.0 points had you chosen the other option.
  
  Option Y delivers 17.0 points with 100.0% chance, or 17.0 points with 0.0% chance.
  Option Q delivers -34.0 points with 60.0% chance, 108.0 points with 20.0% chance, or 106.0 points with 20.0% chance.
  You press <<Y>>. You receive 17.0 points by selecting this option. You would have received 108.0 points had you chosen the other option.
  You press <<Q>>. You receive -34.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Q>>. You receive -34.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Q>>. You receive 108.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<Q>>. You receive -34.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  
  Option Y delivers 8.0 points with 95.0% chance, or -14.0 points with 5.0% chance.
  Option Q delivers 1.0 points with 75.0% chance, or 36.0 points with 25.0% chance.
  You press <<Q>>. You receive 1.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Q>>. You receive 1.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Q>>. You receive 1.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Q>>. You receive 1.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Q>>. You receive 36.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  Option Y delivers 29.0 points with 99.0% chance, or 11.0 points with 1.0% chance.
  Option Q delivers 21.0 points with 60.0% chance, 45.0 points with 20.0% chance, or 47.0 points with 20.0% chance.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Q>>.
  You press <<Q>>.
  You press <<Q>>.
  
  Option Y delivers -3.0 points with 60.0% chance, or -6.0 points with 40.0% chance.
  Option Q delivers -12.0 points with 20.0% chance, -12.0 points with 40.0% chance, -10.0 points with 20.0% chance, -6.0 points with 10.0% chance, 2.0 points with 5.0% chance, 18.0 points with 2.5% chance, 50.0 points with 1.25% chance, or 114.0 points with 1.25% chance.
  You press <<Q>>. You receive -10.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Q>>. You receive -12.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<Q>>. You receive -12.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<Y>>. You receive -3.0 points by selecting this option. You would have received -12.0 points had you chosen the other option.
  You press <<Y>>. You receive -6.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  
  Option Y delivers 16.0 points with 100.0% chance, or 16.0 points with 0.0% chance.
  Option Q delivers -6.0 points with 5.0% chance, or 16.0 points with 95.0% chance.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  
  Option Y delivers -4.0 points with 95.0% chance, or -24.0 points with 5.0% chance.
  Option Q delivers -22.0 points with 20.0% chance, -9.5 points with 2.5% chance, -8.5 points with 12.5% chance, -7.5 points with 25.0% chance, -6.5 points with 25.0% chance, -5.5 points with 12.5% chance, or -4.5 points with 2.5% chance.
  You press <<Q>>. You receive -22.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<Q>>. You receive -7.5 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<Q>>. You receive -7.5 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<Q>>. You receive -22.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<Y>>. You receive -4.0 points by selecting this option. You would have received -6.5 points had you chosen the other option.