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 0.0 points with 100.0% chance, or 0.0 points with 0.0% chance.
  Option U delivers -41.0 points with 75.0% chance, 103.0 points with 12.5% chance, 105.0 points with 6.25% chance, 109.0 points with 3.125% chance, 117.0 points with 1.5625% chance, or 133.0 points with 1.5625% chance.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received -41.0 points had you chosen the other option.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received -41.0 points had you chosen the other option.
  You press <<U>>. You receive -41.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received 105.0 points had you chosen the other option.
  You press <<U>>. You receive -41.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  
  Option V delivers 46.0 points with 50.0% chance, or 2.0 points with 50.0% chance.
  Option U delivers 15.0 points with 80.0% chance, 12.5 points with 0.1562% chance, 13.5 points with 1.0938% chance, 14.5 points with 3.2812% chance, 15.5 points with 5.4688% chance, 16.5 points with 5.4688% chance, 17.5 points with 3.2812% chance, 18.5 points with 1.0938% chance, or 19.5 points with 0.1562% chance.
  You press <<V>>. You receive 2.0 points by selecting this option. You would have received 13.5 points had you chosen the other option.
  You press <<U>>. You receive 15.5 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<U>>. You receive 15.0 points by selecting this option. You would have received 46.0 points had you chosen the other option.
  You press <<V>>. You receive 2.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<V>>. You receive 46.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  
  Option V delivers 42.0 points with 10.0% chance, or -4.0 points with 90.0% chance.
  Option U delivers 1.0 points with 100.0% chance.
  You press <<U>>. You receive 1.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<U>>. You receive 1.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<U>>. You receive 1.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<U>>. You receive 1.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  You press <<U>>. You receive 1.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  
  Option V delivers 3.0 points with 100.0% chance, or 3.0 points with 0.0% chance.
  Option U delivers -10.0 points with 60.0% chance, or 16.0 points with 40.0% chance.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  
  Option V delivers -7.0 points with 100.0% chance, or -7.0 points with 0.0% chance.
  Option U delivers -11.0 points with 99.0% chance, or 31.0 points with 1.0% chance.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  
  Option V delivers either 21.0 points with 100.0% chance, or 21.0 points with 0.0% chance.
  Option U delivers either 10.0 points with unknown chance, or 29.0 points with unknown chance.
  You press <<V>>. You receive 21.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<U>>. You receive 29.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<V>>. You receive 21.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  You press <<U>>. You receive 29.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<V>>. You receive 21.0 points by selecting this option. You would have received 29.0 points had you chosen the other option.
  
  Option V delivers 16.0 points with 100.0% chance, or 16.0 points with 0.0% chance.
  Option U delivers -19.0 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 <<U>>. You receive 28.5 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<U>>. You receive -19.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<U>>. You receive 27.5 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<V>>. You receive 16.0 points by selecting this option. You would have received -19.0 points had you chosen the other option.
  You press <<V>>. You receive 16.0 points by selecting this option. You would have received 27.5 points had you chosen the other option.
  
  Option V delivers 26.0 points with 100.0% chance, or 26.0 points with 0.0% chance.
  Option U delivers 27.0 points with 95.0% chance, 56.0 points with 2.5% chance, 58.0 points with 1.25% chance, 62.0 points with 0.625% chance, 70.0 points with 0.3125% chance, 86.0 points with 0.1562% chance, or 118.0 points with 0.1562% chance.
  You press <<U>>. You receive 27.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<U>>. You receive 27.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<U>>. You receive 27.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<U>>. You receive 27.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<U>>. You receive 27.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  
  Option V delivers either 4.0 points with 100.0% chance, or 4.0 points with 0.0% chance.
  Option U delivers either -4.0 points with unknown chance, or 8.0 points with unknown chance.
  You press <<V>>. You receive 4.0 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 8.0 points had you chosen the other option.
  You press <<U>>. 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 4.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<V>>. You receive 4.0 points by selecting this option. You would have received -4.0 points had you chosen the other option.
  
  Option V delivers 20.0 points with 100.0% chance, or 20.0 points with 0.0% chance.
  Option U delivers -39.0 points with 50.0% chance, or 78.0 points with 50.0% chance.
  You press <<V>>.
  You press <<U>>.
  You press <<V>>.
  You press <<V>>.
  You press <<U>>.
  
  Option V delivers 5.0 points with 100.0% chance, or 5.0 points with 0.0% chance.
  Option U delivers -4.0 points with 80.0% chance, or 71.0 points with 20.0% chance.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  You press <<V>>.
  
  Option V delivers 7.0 points with 100.0% chance, or 7.0 points with 0.0% chance.
  Option U delivers -2.0 points with 80.0% chance, or 18.0 points with 20.0% chance.
  You press <<V>>. You receive 7.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<V>>. You receive 7.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<V>>. You receive 7.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<U>>. You receive -2.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<U>>. You receive -2.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  
  Option V delivers 18.0 points with 100.0% chance, or 18.0 points with 0.0% chance.
  Option U delivers 19.0 points with 75.0% chance, 22.0 points with 12.5% chance, 24.0 points with 6.25% chance, 28.0 points with 3.125% chance, 36.0 points with 1.5625% chance, 52.0 points with 0.7812% chance, 84.0 points with 0.3906% chance, or 148.0 points with 0.3906% chance.
  You press <<V>>. You receive 18.0 points by selecting this option. You would have received 19.0 points had you chosen the other option.
  You press <<U>>. You receive 19.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<U>>. You receive 19.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<U>>. You receive 19.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<U>>. You receive 19.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  
  Option V delivers 29.0 points with 20.0% chance, or 10.0 points with 80.0% chance.
  Option U delivers 7.0 points with 75.0% chance, or 24.0 points with 25.0% chance.
  You press <<V>>. You receive 10.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<V>>. You receive 10.0 points by selecting this option. You would have received 7.0 points had you chosen the other option.
  You press <<U>>. You receive 7.0 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 24.0 points had you chosen the other option.
  You press <<V>>. You receive 10.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  
  Option V delivers -3.0 points with 25.0% chance, or -8.0 points with 75.0% chance.
  Option U delivers -8.0 points with 90.0% chance, -0.5 points with 0.0781% chance, 0.5 points with 0.5469% chance, 1.5 points with 1.6406% chance, 2.5 points with 2.7344% chance, 3.5 points with 2.7344% chance, 4.5 points with 1.6406% chance, 5.5 points with 0.5469% chance, or 6.5 points with 0.0781% chance.
  You press <<V>>. You receive -8.0 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 3.5 points had you chosen the other option.
  You press <<U>>. You receive -8.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<U>>. You receive -8.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<V>>. You receive -8.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  
  Option V delivers either 85.0 points with 1.0% chance, or 28.0 points with 99.0% chance.
  Option U delivers either 31.0 points with unknown chance, 30.5 points with unknown chance, 31.5 points with unknown chance, 32.5 points with unknown chance, 33.5 points with unknown chance, 34.5 points with unknown chance, or 35.5 points with unknown chance.
  You press <<V>>. You receive 28.0 points by selecting this option. You would have received 33.5 points had you chosen the other option.
  You press <<V>>. You receive 28.0 points by selecting this option. You would have received 33.5 points had you chosen the other option.
  You press <<V>>. You receive 28.0 points by selecting this option. You would have received 32.5 points had you chosen the other option.
  You press <<V>>. You receive 28.0 points by selecting this option. You would have received 31.5 points had you chosen the other option.
  You press <<V>>. You receive 28.0 points by selecting this option. You would have received 34.5 points had you chosen the other option.
  
  Option V delivers 30.0 points with 10.0% chance, or 0.0 points with 90.0% chance.
  Option U delivers -7.0 points with 1.0% chance, or 1.0 points with 99.0% chance.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<V>>. You receive 0.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  
  Option V delivers 10.0 points with 95.0% chance, or 6.0 points with 5.0% chance.
  Option U delivers 4.0 points with 50.0% chance, 26.5 points with 1.5625% chance, 27.5 points with 7.8125% chance, 28.5 points with 15.625% chance, 29.5 points with 15.625% chance, 30.5 points with 7.8125% chance, or 31.5 points with 1.5625% chance.
  You press <<V>>. You receive 10.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<V>>. You receive 6.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<V>>. You receive 10.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<V>>. You receive 10.0 points by selecting this option. You would have received 28.5 points had you chosen the other option.
  You press <<V>>. You receive 10.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  
  Option V delivers 55.0 points with 25.0% chance, or -13.0 points with 75.0% chance.
  Option U delivers -19.0 points with 1.0% chance, 0.0 points with 49.5% chance, 2.0 points with 24.75% chance, 6.0 points with 12.375% chance, 14.0 points with 6.1875% chance, 30.0 points with 3.0938% chance, 62.0 points with 1.5469% chance, or 126.0 points with 1.5469% chance.
  You press <<U>>. You receive 0.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<U>>. You receive 0.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<U>>. You receive 0.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<U>>. You receive 0.0 points by selecting this option. You would have received 55.0 points had you chosen the other option.
  You press <<U>>. You receive 2.0 points by selecting this option. You would have received -13.0 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 U delivers -38.0 points with 40.0% chance, 7.5 points with 30.0% chance, or 8.5 points with 30.0% chance.
  You press <<U>>. You receive 8.5 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<U>>. You receive 8.5 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<U>>. You receive 7.5 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<U>>. You receive 8.5 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 7.5 points had you chosen the other option.