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 either 53.0 points with 20.0% chance, or 3.0 points with 80.0% chance.
  Option D delivers either 9.0 points with unknown chance, or 11.0 points with unknown chance.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  
  Option V delivers 23.0 points with 100.0% chance, or 23.0 points with 0.0% chance.
  Option D delivers 20.0 points with 80.0% chance, 62.0 points with 10.0% chance, 60.0 points with 5.0% chance, 56.0 points with 2.5% chance, or 48.0 points with 2.5% chance.
  You press <<V>>. You receive 23.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<V>>. You receive 23.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<V>>. You receive 23.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<V>>. You receive 23.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<V>>. You receive 23.0 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option V delivers 8.0 points with 100.0% chance, or 8.0 points with 0.0% chance.
  Option D delivers 11.0 points with 50.0% chance, 10.5 points with 0.3906% chance, 11.5 points with 2.7344% chance, 12.5 points with 8.2031% chance, 13.5 points with 13.6719% chance, 14.5 points with 13.6719% chance, 15.5 points with 8.2031% chance, 16.5 points with 2.7344% chance, or 17.5 points with 0.3906% chance.
  You press <<V>>. You receive 8.0 points by selecting this option. You would have received 13.5 points had you chosen the other option.
  You press <<D>>. You receive 14.5 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<D>>. You receive 12.5 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 11.0 points had you chosen the other option.
  You press <<V>>. You receive 8.0 points by selecting this option. You would have received 13.5 points had you chosen the other option.
  
  Option V delivers either -2.0 points with 100.0% chance, or -2.0 points with 0.0% chance.
  Option D delivers either -13.0 points with unknown chance, 99.5 points with unknown chance, 100.5 points with unknown chance, 101.5 points with unknown chance, or 102.5 points with unknown chance.
  You press <<V>>.
  You press <<V>>.
  You press <<D>>.
  You press <<D>>.
  You press <<V>>.
  
  Option V delivers 74.0 points with 50.0% chance, or -40.0 points with 50.0% chance.
  Option D delivers -13.0 points with 10.0% chance, 9.5 points with 0.7031% chance, 10.5 points with 4.9219% chance, 11.5 points with 14.7656% chance, 12.5 points with 24.6094% chance, 13.5 points with 24.6094% chance, 14.5 points with 14.7656% chance, 15.5 points with 4.9219% chance, or 16.5 points with 0.7031% chance.
  You press <<D>>. You receive 12.5 points by selecting this option. You would have received 74.0 points had you chosen the other option.
  You press <<V>>. You receive 74.0 points by selecting this option. You would have received 14.5 points had you chosen the other option.
  You press <<V>>. You receive 74.0 points by selecting this option. You would have received 13.5 points had you chosen the other option.
  You press <<V>>. You receive -40.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<D>>. You receive 14.5 points by selecting this option. You would have received -40.0 points had you chosen the other option.
  
  Option V delivers 31.0 points with 40.0% chance, or -31.0 points with 60.0% chance.
  Option D delivers -8.0 points with 1.0% chance, -4.5 points with 49.5% chance, or -3.5 points with 49.5% chance.
  You press <<D>>. You receive -3.5 points by selecting this option. You would have received 31.0 points had you chosen the other option.
  You press <<V>>. You receive -31.0 points by selecting this option. You would have received -3.5 points had you chosen the other option.
  You press <<V>>. You receive 31.0 points by selecting this option. You would have received -4.5 points had you chosen the other option.
  You press <<D>>. You receive -3.5 points by selecting this option. You would have received -31.0 points had you chosen the other option.
  You press <<V>>. You receive -31.0 points by selecting this option. You would have received -4.5 points had you chosen the other option.
  
  Option V delivers 23.0 points with 75.0% chance, or -32.0 points with 25.0% chance.
  Option D delivers -26.0 points with 40.0% chance, or 16.0 points with 60.0% chance.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  
  Option V delivers 100.0 points with 1.0% chance, or 20.0 points with 99.0% chance.
  Option D delivers -1.0 points with 5.0% chance, or 14.0 points with 95.0% chance.
  You press <<V>>. You receive 20.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 20.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 20.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 20.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<V>>. You receive 20.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  
  Option V delivers 48.0 points with 40.0% chance, or -19.0 points with 60.0% chance.
  Option D delivers 0.0 points with 75.0% chance, 33.0 points with 12.5% chance, 35.0 points with 6.25% chance, 39.0 points with 3.125% chance, 47.0 points with 1.5625% chance, 63.0 points with 0.7812% chance, 95.0 points with 0.3906% chance, or 159.0 points with 0.3906% chance.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<D>>. You receive 35.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received 48.0 points had you chosen the other option.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received 48.0 points had you chosen the other option.
  
  Option V delivers 18.0 points with 50.0% chance, or -4.0 points with 50.0% chance.
  Option D delivers -3.0 points with 40.0% chance, or 17.0 points with 60.0% chance.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  You press <<D>>.
  
  Option V delivers 13.0 points with 100.0% chance, or 13.0 points with 0.0% chance.
  Option D delivers 4.0 points with 80.0% chance, 43.5 points with 0.625% chance, 44.5 points with 3.125% chance, 45.5 points with 6.25% chance, 46.5 points with 6.25% chance, 47.5 points with 3.125% chance, or 48.5 points with 0.625% chance.
  You press <<D>>. You receive 4.0 points by selecting this option. You would have received 13.0 points had you chosen the other option.
  You press <<V>>. You receive 13.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<V>>. You receive 13.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<V>>. You receive 13.0 points by selecting this option. You would have received 48.5 points had you chosen the other option.
  You press <<V>>. You receive 13.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  
  Option V delivers either 4.0 points with 50.0% chance, or -22.0 points with 50.0% chance.
  Option D delivers either -24.0 points with unknown chance, 2.5 points with unknown chance, 3.5 points with unknown chance, 4.5 points with unknown chance, or 5.5 points with unknown chance.
  You press <<D>>. You receive -24.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<D>>. You receive -24.0 points by selecting this option. You would have received -22.0 points had you chosen the other option.
  You press <<D>>. You receive -24.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<D>>. You receive 4.5 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<D>>. You receive -24.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  
  Option V delivers 10.0 points with 5.0% chance, or 1.0 points with 95.0% chance.
  Option D delivers -7.0 points with 90.0% chance, 92.0 points with 5.0% chance, 94.0 points with 2.5% chance, 98.0 points with 1.25% chance, 106.0 points with 0.625% chance, 122.0 points with 0.3125% chance, or 154.0 points with 0.3125% chance.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  You press <<V>>. You receive 1.0 points by selecting this option. You would have received -7.0 points had you chosen the other option.
  
  Option V delivers -8.0 points with 100.0% chance, or -8.0 points with 0.0% chance.
  Option D delivers -24.0 points with 90.0% chance, 23.5 points with 0.0781% chance, 24.5 points with 0.5469% chance, 25.5 points with 1.6406% chance, 26.5 points with 2.7344% chance, 27.5 points with 2.7344% chance, 28.5 points with 1.6406% chance, 29.5 points with 0.5469% chance, or 30.5 points with 0.0781% chance.
  You press <<V>>. You receive -8.0 points by selecting this option. You would have received -24.0 points had you chosen the other option.
  You press <<V>>. You receive -8.0 points by selecting this option. You would have received -24.0 points had you chosen the other option.
  You press <<V>>. You receive -8.0 points by selecting this option. You would have received -24.0 points had you chosen the other option.
  You press <<V>>. You receive -8.0 points by selecting this option. You would have received 26.5 points had you chosen the other option.
  You press <<V>>. You receive -8.0 points by selecting this option. You would have received -24.0 points had you chosen the other option.
  
  Option V delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option D delivers 33.0 points with 10.0% chance, or 40.0 points with 90.0% chance.
  You press <<D>>. You receive 40.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<D>>. You receive 40.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<D>>. You receive 40.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<D>>. You receive 40.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<D>>. You receive 33.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  
  Option V delivers either 7.0 points with 100.0% chance, or 7.0 points with 0.0% chance.
  Option D delivers either 3.0 points with unknown chance, 37.5 points with unknown chance, or 38.5 points with unknown chance.
  You press <<D>>. You receive 37.5 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<D>>. You receive 3.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<D>>. You receive 3.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<D>>. You receive 3.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<D>>. You receive 38.5 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  
  Option V delivers either 10.0 points with 100.0% chance, or 10.0 points with 0.0% chance.
  Option D delivers either 5.0 points with unknown chance, or 37.0 points with unknown chance.
  You press <<D>>. You receive 5.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive 5.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive 5.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive 5.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive 5.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  
  Option V delivers 28.0 points with 25.0% chance, or 21.0 points with 75.0% chance.
  Option D delivers 17.0 points with 75.0% chance, 15.5 points with 3.125% chance, 16.5 points with 9.375% chance, 17.5 points with 9.375% chance, or 18.5 points with 3.125% chance.
  You press <<V>>. You receive 21.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<V>>. You receive 28.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<V>>. You receive 21.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<V>>. You receive 21.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  You press <<V>>. You receive 21.0 points by selecting this option. You would have received 17.0 points had you chosen the other option.
  
  Option V delivers 14.0 points with 1.0% chance, or 5.0 points with 99.0% chance.
  Option D delivers -4.0 points with 20.0% chance, or 5.0 points with 80.0% chance.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<V>>. You receive 5.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  
  Option V delivers 17.0 points with 100.0% chance, or 17.0 points with 0.0% chance.
  Option D delivers -18.0 points with 75.0% chance, 96.5 points with 3.125% chance, 97.5 points with 9.375% chance, 98.5 points with 9.375% chance, or 99.5 points with 3.125% chance.
  You press <<D>>. You receive -18.0 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 96.5 points had you chosen the other option.
  You press <<D>>. You receive -18.0 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 -18.0 points had you chosen the other option.
  You press <<V>>. You receive 17.0 points by selecting this option. You would have received 97.5 points had you chosen the other option.