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 7.0 points with 10.0% chance, or 6.0 points with 90.0% chance.
  Option V delivers 6.0 points with 100.0% chance.
  You press <<V>>.
  You press <<P>>.
  You press <<P>>.
  You press <<V>>.
  You press <<V>>.
  
  Option P delivers 14.0 points with 100.0% chance, or 14.0 points with 0.0% chance.
  Option V delivers -30.0 points with 25.0% chance, 25.5 points with 2.3438% chance, 26.5 points with 11.7188% chance, 27.5 points with 23.4375% chance, 28.5 points with 23.4375% chance, 29.5 points with 11.7188% chance, or 30.5 points with 2.3438% chance.
  You press <<V>>. You receive -30.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<P>>. You receive 14.0 points by selecting this option. You would have received -30.0 points had you chosen the other option.
  You press <<P>>. You receive 14.0 points by selecting this option. You would have received 25.5 points had you chosen the other option.
  You press <<V>>. You receive 27.5 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 28.5 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  
  Option P delivers 30.0 points with 90.0% chance, or 1.0 points with 10.0% chance.
  Option V delivers -32.0 points with 20.0% chance, or 38.0 points with 80.0% chance.
  You press <<P>>. You receive 30.0 points by selecting this option. You would have received 38.0 points had you chosen the other option.
  You press <<P>>. You receive 30.0 points by selecting this option. You would have received 38.0 points had you chosen the other option.
  You press <<P>>. You receive 30.0 points by selecting this option. You would have received 38.0 points had you chosen the other option.
  You press <<V>>. You receive 38.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<V>>. You receive 38.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  
  Option P delivers 13.0 points with 100.0% chance, or 13.0 points with 0.0% chance.
  Option V delivers -3.0 points with 40.0% chance, or 22.0 points with 60.0% chance.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<V>>. You receive -3.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<P>>. You receive 13.0 points by selecting this option. You would have received -3.0 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 V delivers -8.0 points with 90.0% chance, 78.5 points with 5.0% chance, or 79.5 points with 5.0% chance.
  You press <<P>>. You receive 6.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<V>>. You receive -8.0 points by selecting this option. You would have received 6.0 points had you chosen the other option.
  You press <<P>>. 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 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 6.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  
  Option P delivers 40.0 points with 1.0% chance, or 2.0 points with 99.0% chance.
  Option V delivers -16.0 points with 5.0% chance, 1.0 points with 47.5% chance, -1.0 points with 23.75% chance, -5.0 points with 11.875% chance, -13.0 points with 5.9375% chance, or -29.0 points with 5.9375% chance.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<P>>. You receive 2.0 points by selecting this option. You would have received -5.0 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 V delivers 15.0 points with 75.0% chance, or 60.0 points with 25.0% chance.
  You press <<V>>. You receive 15.0 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 15.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 60.0 points had you chosen the other option.
  You press <<V>>. You receive 15.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<V>>. You receive 15.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  Option P delivers 16.0 points with 100.0% chance, or 16.0 points with 0.0% chance.
  Option V delivers 1.0 points with 75.0% chance, or 73.0 points with 25.0% chance.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<V>>. You receive 1.0 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 1.0 points had you chosen the other option.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  
  Option P delivers 22.0 points with 90.0% chance, or -19.0 points with 10.0% chance.
  Option V delivers -9.0 points with 50.0% chance, 43.5 points with 0.3906% chance, 44.5 points with 2.7344% chance, 45.5 points with 8.2031% chance, 46.5 points with 13.6719% chance, 47.5 points with 13.6719% chance, 48.5 points with 8.2031% chance, 49.5 points with 2.7344% chance, or 50.5 points with 0.3906% chance.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<P>>. You receive 22.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<V>>. You receive 48.5 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<P>>. You receive 22.0 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 22.0 points had you chosen the other option.
  
  Option P delivers -9.0 points with 100.0% chance, or -9.0 points with 0.0% chance.
  Option V delivers -17.0 points with 80.0% chance, 4.5 points with 2.5% chance, 5.5 points with 7.5% chance, 6.5 points with 7.5% chance, or 7.5 points with 2.5% chance.
  You press <<P>>. You receive -9.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<P>>. You receive -9.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<V>>. You receive -17.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<V>>. You receive -17.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<P>>. You receive -9.0 points by selecting this option. You would have received -17.0 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 V delivers -17.0 points with 80.0% chance, 65.5 points with 0.1562% chance, 66.5 points with 1.0938% chance, 67.5 points with 3.2812% chance, 68.5 points with 5.4688% chance, 69.5 points with 5.4688% chance, 70.5 points with 3.2812% chance, 71.5 points with 1.0938% chance, or 72.5 points with 0.1562% chance.
  You press <<P>>. You receive -5.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  You press <<P>>. You receive -5.0 points by selecting this option. You would have received 69.5 points had you chosen the other option.
  You press <<V>>. You receive 67.5 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 -17.0 points had you chosen the other option.
  You press <<P>>. You receive -5.0 points by selecting this option. You would have received -17.0 points had you chosen the other option.
  
  Option P delivers 40.0 points with 20.0% chance, or 5.0 points with 80.0% chance.
  Option V delivers -36.0 points with 20.0% chance, or 23.0 points with 80.0% chance.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive 40.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<P>>. You receive 5.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  You press <<V>>. You receive 23.0 points by selecting this option. You would have received 5.0 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 V delivers -19.0 points with 60.0% chance, or 50.0 points with 40.0% chance.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received 50.0 points had you chosen the other option.
  You press <<V>>. You receive 50.0 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 -19.0 points had you chosen the other option.
  You press <<P>>. You receive 21.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  
  Option P delivers 25.0 points with 100.0% chance, or 25.0 points with 0.0% chance.
  Option V delivers -22.0 points with 60.0% chance, or 66.0 points with 40.0% chance.
  You press <<P>>.
  You press <<P>>.
  You press <<V>>.
  You press <<P>>.
  You press <<P>>.
  
  Option P delivers 19.0 points with 100.0% chance, or 19.0 points with 0.0% chance.
  Option V delivers 19.0 points with 40.0% chance, or 31.0 points with 60.0% chance.
  You press <<P>>.
  You press <<P>>.
  You press <<P>>.
  You press <<V>>.
  You press <<V>>.
  
  Option P delivers 71.0 points with 20.0% chance, or -29.0 points with 80.0% chance.
  Option V delivers -17.0 points with 75.0% chance, or 23.0 points with 25.0% chance.
  You press <<P>>.
  You press <<V>>.
  You press <<P>>.
  You press <<V>>.
  You press <<P>>.
  
  Option P delivers -7.0 points with 100.0% chance, or -7.0 points with 0.0% chance.
  Option V delivers -6.0 points with 10.0% chance, -1.5 points with 2.8125% chance, -0.5 points with 14.0625% chance, 0.5 points with 28.125% chance, 1.5 points with 28.125% chance, 2.5 points with 14.0625% chance, or 3.5 points with 2.8125% chance.
  You press <<P>>. You receive -7.0 points by selecting this option. You would have received -1.5 points had you chosen the other option.
  You press <<V>>. You receive 1.5 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<P>>. You receive -7.0 points by selecting this option. You would have received 1.5 points had you chosen the other option.
  You press <<V>>. You receive 0.5 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<V>>. You receive -0.5 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  
  Option P delivers 26.0 points with 5.0% chance, or -8.0 points with 95.0% chance.
  Option V delivers -7.0 points with 95.0% chance, or 64.0 points with 5.0% chance.
  You press <<P>>. You receive -8.0 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 -8.0 points had you chosen the other option.
  You press <<V>>. You receive -7.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<P>>. You receive 26.0 points by selecting this option. You would have received 64.0 points had you chosen the other option.
  You press <<V>>. You receive -7.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  
  Option P delivers -4.0 points with 100.0% chance, or -4.0 points with 0.0% chance.
  Option V delivers -9.0 points with 90.0% chance, 49.0 points with 5.0% chance, 51.0 points with 2.5% chance, 55.0 points with 1.25% chance, 63.0 points with 0.625% chance, or 79.0 points with 0.625% chance.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<V>>. You receive 49.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<P>>. You receive -4.0 points by selecting this option. You would have received 49.0 points had you chosen the other option.
  You press <<V>>. You receive -9.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  
  Option P delivers 39.0 points with 75.0% chance, or -29.0 points with 25.0% chance.
  Option V delivers -19.0 points with 40.0% chance, 49.5 points with 7.5% chance, 50.5 points with 22.5% chance, 51.5 points with 22.5% chance, or 52.5 points with 7.5% chance.
  You press <<V>>. You receive -19.0 points by selecting this option. You would have received 39.0 points had you chosen the other option.
  You press <<V>>. You receive -19.0 points by selecting this option. You would have received 39.0 points had you chosen the other option.
  You press <<P>>. You receive -29.0 points by selecting this option. You would have received 51.5 points had you chosen the other option.
  You press <<V>>. You receive -19.0 points by selecting this option. You would have received 39.0 points had you chosen the other option.
  You press <<V>>. You receive -19.0 points by selecting this option. You would have received 39.0 points had you chosen the other option.