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 V delivers 4.0 points with 100.0% chance, or 4.0 points with 0.0% chance.
  Option Z delivers -1.0 points with 75.0% chance, or 16.0 points with 25.0% chance.
  You press <<Z>>. You receive -1.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<V>>. You receive 4.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<V>>. You receive 4.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<V>>. You receive 4.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<V>>. You receive 4.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  
  
  Option V delivers either 29.0 points with 100.0% chance, or 29.0 points with 0.0% chance.
  Option Z delivers either 17.0 points with unknown chance, 29.0 points with unknown chance, 27.0 points with unknown chance, 23.0 points with unknown chance, 15.0 points with unknown chance, -1.0 points with unknown chance, or -33.0 points with unknown chance.
  You press <<Z>>. You receive 17.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<Z>>. You receive 17.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<Z>>. You receive 17.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<V>>. You receive 29.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<V>>. You receive 29.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  
  
  Option V delivers 83.0 points with 1.0% chance, or -6.0 points with 99.0% chance.
  Option Z delivers -19.0 points with 75.0% chance, or 30.0 points with 25.0% chance.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive 30.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<V>>. You receive -6.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  
  Option V delivers -1.0 points with 90.0% chance, or -30.0 points with 10.0% chance.
  Option Z delivers 3.0 points with 99.0% chance, 68.5 points with 0.125% chance, 69.5 points with 0.375% chance, 70.5 points with 0.375% chance, or 71.5 points with 0.125% chance.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received -30.0 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received -30.0 points had you chosen the other option.
  
  Option V delivers -10.0 points with 100.0% chance, or -10.0 points with 0.0% chance.
  Option Z delivers -30.0 points with 40.0% chance, 5.5 points with 30.0% chance, or 6.5 points with 30.0% chance.
  You press <<Z>>. You receive -30.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<Z>>. You receive 5.5 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<V>>. You receive -10.0 points by selecting this option. You would have received 5.5 points had you chosen the other option.
  You press <<Z>>. You receive 5.5 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<V>>. You receive -10.0 points by selecting this option. You would have received 6.5 points had you chosen the other option.
  
  Option V delivers 3.0 points with 99.0% chance, or -22.0 points with 1.0% chance.
  Option Z delivers -16.0 points with 1.0% chance, 2.5 points with 49.5% chance, or 3.5 points with 49.5% chance.
  You press <<Z>>. You receive 3.5 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<V>>. You receive 3.0 points by selecting this option. You would have received 3.5 points had you chosen the other option.
  You press <<V>>. You receive 3.0 points by selecting this option. You would have received 2.5 points had you chosen the other option.
  You press <<Z>>. You receive 2.5 points by selecting this option. You would have received 3.0 points had you chosen the other option.
  You press <<V>>. You receive 3.0 points by selecting this option. You would have received 2.5 points had you chosen the other option.
  
  
  Option V delivers 14.0 points with 100.0% chance, or 14.0 points with 0.0% chance.
  Option Z delivers -10.0 points with 50.0% chance, 38.5 points with 25.0% chance, or 39.5 points with 25.0% chance.
  You press <<V>>. You receive 14.0 points by selecting this option. You would have received 38.5 points had you chosen the other option.
  You press <<Z>>. You receive -10.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<Z>>. You receive -10.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 14.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<V>>. You receive 14.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  
  Option V delivers either 2.0 points with 90.0% chance, or -20.0 points with 10.0% chance.
  Option Z delivers either -15.0 points with unknown chance, 1.0 points with unknown chance, or -1.0 points with unknown chance.
  You press <<Z>>. You receive -1.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<V>>. You receive 2.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Z>>. You receive 1.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<V>>. You receive 2.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<Z>>. You receive 1.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  
  Option V delivers 15.0 points with 100.0% chance, or 15.0 points with 0.0% chance.
  Option Z delivers -15.0 points with 75.0% chance, or 110.0 points with 25.0% chance.
  You press <<V>>. You receive 15.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<V>>. You receive 15.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<V>>. You receive 15.0 points by selecting this option. You would have received 110.0 points had you chosen the other option.
  You press <<V>>. You receive 15.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<V>>. You receive 15.0 points by selecting this option. You would have received 110.0 points had you chosen the other option.
  
  
  Option V delivers 9.0 points with 100.0% chance, or 9.0 points with 0.0% chance.
  Option Z delivers -6.0 points with 90.0% chance, or 63.0 points with 10.0% chance.
  You press <<Z>>. You receive -6.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<V>>. You receive 9.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive -6.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<V>>. You receive 9.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive -6.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  
  Option V delivers -2.0 points with 100.0% chance, or -2.0 points with 0.0% chance.
  Option Z delivers -8.0 points with 80.0% chance, 40.5 points with 0.1562% chance, 41.5 points with 1.0938% chance, 42.5 points with 3.2812% chance, 43.5 points with 5.4688% chance, 44.5 points with 5.4688% chance, 45.5 points with 3.2812% chance, 46.5 points with 1.0938% chance, or 47.5 points with 0.1562% chance.
  You press <<Z>>. You receive -8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<V>>. You receive -2.0 points by selecting this option. You would have received 42.5 points had you chosen the other option.
  You press <<Z>>. You receive -8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Z>>. You receive -8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Z>>. You receive -8.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option V delivers either -3.0 points with 100.0% chance, or -3.0 points with 0.0% chance.
  Option Z delivers either -31.0 points with unknown chance, or 34.0 points with unknown chance.
  You press <<V>>. You receive -3.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  You press <<Z>>. You receive -31.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<Z>>. You receive -31.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<V>>. You receive -3.0 points by selecting this option. You would have received -31.0 points had you chosen the other option.
  You press <<Z>>. You receive -31.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  
  Option V delivers 8.0 points with 40.0% chance, or -7.0 points with 60.0% chance.
  Option Z delivers -14.0 points with 10.0% chance, or -4.0 points with 90.0% chance.
  You press <<V>>. You receive 8.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<V>>. You receive 8.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<V>>. You receive 8.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<V>>. You receive -7.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<V>>. You receive -7.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  
  
  Option V delivers -7.0 points with 100.0% chance, or -7.0 points with 0.0% chance.
  Option Z delivers -19.0 points with 60.0% chance, 6.5 points with 20.0% chance, or 7.5 points with 20.0% chance.
  You press <<V>>. You receive -7.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<V>>. You receive -7.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<V>>. You receive -7.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.