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 25.0 points with 50.0% chance, or -15.0 points with 50.0% chance.
  Option W delivers 2.0 points with 99.0% chance, or 7.0 points with 1.0% chance.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<Y>>. You receive -15.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<Y>>. You receive -15.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<Y>>. You receive -15.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<Y>>. You receive -15.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  
  Option Y delivers 2.0 points with 100.0% chance, or 2.0 points with 0.0% chance.
  Option W delivers -19.0 points with 40.0% chance, 9.5 points with 1.875% chance, 10.5 points with 9.375% chance, 11.5 points with 18.75% chance, 12.5 points with 18.75% chance, 13.5 points with 9.375% chance, or 14.5 points with 1.875% chance.
  You press <<W>>.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  You press <<Y>>.
  
  Option Y delivers 32.0 points with 75.0% chance, or 12.0 points with 25.0% chance.
  Option W delivers 25.5 points with 12.5% chance, 26.5 points with 37.5% chance, 27.5 points with 37.5% chance, or 28.5 points with 12.5% chance.
  You press <<Y>>. You receive 32.0 points by selecting this option. You would have received 27.5 points had you chosen the other option.
  You press <<Y>>. You receive 32.0 points by selecting this option. You would have received 27.5 points had you chosen the other option.
  You press <<Y>>. You receive 32.0 points by selecting this option. You would have received 27.5 points had you chosen the other option.
  You press <<Y>>. You receive 12.0 points by selecting this option. You would have received 28.5 points had you chosen the other option.
  You press <<Y>>. You receive 32.0 points by selecting this option. You would have received 26.5 points had you chosen the other option.
  
  Option Y delivers 27.0 points with 60.0% chance, or 4.0 points with 40.0% chance.
  Option W delivers 5.0 points with 95.0% chance, or 115.0 points with 5.0% chance.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<Y>>. You receive 27.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<Y>>. You receive 4.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<Y>>. You receive 4.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  
  Option Y delivers 36.0 points with 60.0% chance, or -49.0 points with 40.0% chance.
  Option W delivers -10.0 points with 40.0% chance, or 2.0 points with 60.0% chance.
  You press <<Y>>. You receive 36.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<Y>>. You receive -49.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<Y>>. You receive 36.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  You press <<Y>>. You receive 36.0 points by selecting this option. You would have received -10.0 points had you chosen the other option.
  You press <<Y>>. You receive 36.0 points by selecting this option. You would have received 2.0 points had you chosen the other option.
  
  Option Y delivers 24.0 points with 50.0% chance, or -26.0 points with 50.0% chance.
  Option W delivers -7.0 points with 80.0% chance, 24.5 points with 0.625% chance, 25.5 points with 3.125% chance, 26.5 points with 6.25% chance, 27.5 points with 6.25% chance, 28.5 points with 3.125% chance, or 29.5 points with 0.625% chance.
  You press <<W>>. You receive 27.5 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<W>>. You receive -7.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<W>>. You receive -7.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<W>>. You receive -7.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  You press <<W>>. You receive 28.5 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  
  Option Y delivers -9.0 points with 100.0% chance, or -9.0 points with 0.0% chance.
  Option W delivers -13.0 points with 80.0% chance, 35.5 points with 0.1562% chance, 36.5 points with 1.0938% chance, 37.5 points with 3.2812% chance, 38.5 points with 5.4688% chance, 39.5 points with 5.4688% chance, 40.5 points with 3.2812% chance, 41.5 points with 1.0938% chance, or 42.5 points with 0.1562% chance.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  
  Option Y delivers 14.0 points with 100.0% chance, or 14.0 points with 0.0% chance.
  Option W delivers -8.0 points with 5.0% chance, or 14.0 points with 95.0% chance.
  You press <<Y>>. You receive 14.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<Y>>. You receive 14.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<Y>>. You receive 14.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<Y>>. You receive 14.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<Y>>. You receive 14.0 points by selecting this option. You would have received 14.0 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 W delivers 17.0 points with 5.0% chance, 21.5 points with 47.5% chance, or 22.5 points with 47.5% chance.
  You press <<W>>. You receive 21.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<W>>. You receive 22.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<W>>. You receive 21.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<W>>. You receive 21.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<W>>. You receive 22.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  
  Option Y delivers -5.0 points with 100.0% chance, or -5.0 points with 0.0% chance.
  Option W delivers -16.0 points with 75.0% chance, or 41.0 points with 25.0% chance.
  You press <<Y>>. You receive -5.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<Y>>. You receive -5.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<Y>>. You receive -5.0 points by selecting this option. You would have received 41.0 points had you chosen the other option.
  You press <<Y>>. You receive -5.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  You press <<Y>>. You receive -5.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  
  Option Y delivers 59.0 points with 50.0% chance, or -13.0 points with 50.0% chance.
  Option W delivers 20.0 points with 99.0% chance, 21.5 points with 0.0078% chance, 22.5 points with 0.0547% chance, 23.5 points with 0.1641% chance, 24.5 points with 0.2734% chance, 25.5 points with 0.2734% chance, 26.5 points with 0.1641% chance, 27.5 points with 0.0547% chance, or 28.5 points with 0.0078% chance.
  You press <<W>>. You receive 20.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<W>>. You receive 20.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<W>>. You receive 20.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<W>>. You receive 20.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  You press <<W>>. You receive 20.0 points by selecting this option. You would have received -13.0 points had you chosen the other option.
  
  Option Y delivers either 87.0 points with 1.0% chance, or 9.0 points with 99.0% chance.
  Option W delivers either 14.0 points with unknown chance, or 17.0 points with unknown chance.
  You press <<W>>. You receive 14.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<W>>. You receive 17.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<W>>. You receive 17.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<W>>. You receive 17.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  You press <<W>>. You receive 17.0 points by selecting this option. You would have received 9.0 points had you chosen the other option.
  
  Option Y delivers 20.0 points with 100.0% chance, or 20.0 points with 0.0% chance.
  Option W delivers -8.0 points with 25.0% chance, 16.5 points with 0.5859% chance, 17.5 points with 4.1016% chance, 18.5 points with 12.3047% chance, 19.5 points with 20.5078% chance, 20.5 points with 20.5078% chance, 21.5 points with 12.3047% chance, 22.5 points with 4.1016% chance, or 23.5 points with 0.5859% chance.
  You press <<Y>>. You receive 20.0 points by selecting this option. You would have received 21.5 points had you chosen the other option.
  You press <<Y>>. You receive 20.0 points by selecting this option. You would have received 20.5 points had you chosen the other option.
  You press <<Y>>. You receive 20.0 points by selecting this option. You would have received 20.5 points had you chosen the other option.
  You press <<Y>>. You receive 20.0 points by selecting this option. You would have received 17.5 points had you chosen the other option.
  You press <<Y>>. You receive 20.0 points by selecting this option. You would have received 20.5 points had you chosen the other option.
  
  Option Y delivers either 16.0 points with 100.0% chance, or 16.0 points with 0.0% chance.
  Option W delivers either 23.0 points with unknown chance, or 70.0 points with unknown chance.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  
  Option Y delivers either 26.0 points with 10.0% chance, or 25.0 points with 90.0% chance.
  Option W delivers either 35.0 points with unknown chance, or 48.0 points with unknown chance.
  You press <<W>>. You receive 35.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<W>>. You receive 35.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<W>>. You receive 35.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<W>>. You receive 35.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<W>>. You receive 35.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  
  Option Y delivers 36.0 points with 50.0% chance, or -30.0 points with 50.0% chance.
  Option W delivers 2.0 points with 75.0% chance, 25.5 points with 3.125% chance, 26.5 points with 9.375% chance, 27.5 points with 9.375% chance, or 28.5 points with 3.125% chance.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  You press <<W>>.
  
  Option Y delivers either 30.0 points with 50.0% chance, or 12.0 points with 50.0% chance.
  Option W delivers either -37.0 points with unknown chance, 23.5 points with unknown chance, 24.5 points with unknown chance, 25.5 points with unknown chance, 26.5 points with unknown chance, 27.5 points with unknown chance, or 28.5 points with unknown chance.
  You press <<Y>>. You receive 30.0 points by selecting this option. You would have received 24.5 points had you chosen the other option.
  You press <<Y>>. You receive 12.0 points by selecting this option. You would have received -37.0 points had you chosen the other option.
  You press <<Y>>. You receive 12.0 points by selecting this option. You would have received -37.0 points had you chosen the other option.
  You press <<Y>>. You receive 12.0 points by selecting this option. You would have received 25.5 points had you chosen the other option.
  You press <<Y>>. You receive 12.0 points by selecting this option. You would have received -37.0 points had you chosen the other option.
  
  Option Y delivers 33.0 points with 50.0% chance, or -35.0 points with 50.0% chance.
  Option W delivers -2.0 points with 80.0% chance, or 10.0 points with 20.0% chance.
  You press <<W>>. You receive -2.0 points by selecting this option. You would have received 33.0 points had you chosen the other option.
  You press <<W>>. You receive -2.0 points by selecting this option. You would have received 33.0 points had you chosen the other option.
  You press <<W>>. You receive -2.0 points by selecting this option. You would have received 33.0 points had you chosen the other option.
  You press <<W>>. You receive 10.0 points by selecting this option. You would have received 33.0 points had you chosen the other option.
  You press <<W>>. You receive -2.0 points by selecting this option. You would have received 33.0 points had you chosen the other option.
  
  Option Y delivers -3.0 points with 100.0% chance, or -3.0 points with 0.0% chance.
  Option W delivers -1.0 points with 95.0% chance, 57.5 points with 0.1562% chance, 58.5 points with 0.7812% chance, 59.5 points with 1.5625% chance, 60.5 points with 1.5625% chance, 61.5 points with 0.7812% chance, or 62.5 points with 0.1562% chance.
  You press <<W>>. You receive -1.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<W>>. You receive -1.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<W>>. You receive -1.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<W>>. You receive -1.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<W>>. You receive -1.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  
  Option Y delivers either 42.0 points with 20.0% chance, or 14.0 points with 80.0% chance.
  Option W delivers either 19.0 points with unknown chance, 57.5 points with unknown chance, 58.5 points with unknown chance, 59.5 points with unknown chance, 60.5 points with unknown chance, 61.5 points with unknown chance, 62.5 points with unknown chance, 63.5 points with unknown chance, or 64.5 points with unknown chance.
  You press <<W>>. You receive 19.0 points by selecting this option. You would have received 42.0 points had you chosen the other option.
  You press <<W>>. You receive 19.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<W>>. You receive 19.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<W>>. You receive 19.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.
  You press <<W>>. You receive 19.0 points by selecting this option. You would have received 14.0 points had you chosen the other option.