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 D delivers 22.0 points with 100.0% chance, or 22.0 points with 0.0% chance.
  Option Z delivers 1.0 points with 75.0% chance, or 84.0 points with 25.0% chance.
  You press <<Z>>. You receive 1.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<D>>. You receive 22.0 points by selecting this option. You would have received 84.0 points had you chosen the other option.
  You press <<Z>>. You receive 1.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<D>>. You receive 22.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  You press <<D>>. You receive 22.0 points by selecting this option. You would have received 1.0 points had you chosen the other option.
  
  Option D delivers 1.0 points with 60.0% chance, or -2.0 points with 40.0% chance.
  Option Z delivers -19.0 points with 80.0% chance, or 59.0 points with 20.0% chance.
  You press <<D>>. You receive 1.0 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 -2.0 points had you chosen the other option.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Z>>. You receive -19.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option D delivers -3.0 points with 50.0% chance, or -15.0 points with 50.0% chance.
  Option Z delivers -6.0 points with 1.0% chance, or -4.0 points with 99.0% chance.
  You press <<Z>>. You receive -4.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<Z>>. You receive -4.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<Z>>. You receive -4.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<Z>>. You receive -4.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<Z>>. You receive -4.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  
  Option D delivers 20.0 points with 100.0% chance, or 20.0 points with 0.0% chance.
  Option Z delivers -3.0 points with 1.0% chance, 17.5 points with 3.0938% chance, 18.5 points with 15.4688% chance, 19.5 points with 30.9375% chance, 20.5 points with 30.9375% chance, 21.5 points with 15.4688% chance, or 22.5 points with 3.0938% chance.
  You press <<D>>. You receive 20.0 points by selecting this option. You would have received 19.5 points had you chosen the other option.
  You press <<D>>. You receive 20.0 points by selecting this option. You would have received 20.5 points had you chosen the other option.
  You press <<D>>. You receive 20.0 points by selecting this option. You would have received 20.5 points had you chosen the other option.
  You press <<Z>>. You receive 20.5 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  You press <<Z>>. You receive 19.5 points by selecting this option. You would have received 20.0 points had you chosen the other option.
  
  Option D delivers 56.0 points with 40.0% chance, or 3.0 points with 60.0% chance.
  Option Z delivers 18.0 points with 90.0% chance, or 47.0 points with 10.0% chance.
  You press <<D>>. You receive 56.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<D>>. You receive 56.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<D>>. You receive 3.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<D>>. You receive 3.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<D>>. You receive 3.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  
  Option D delivers 76.0 points with 40.0% chance, or -16.0 points with 60.0% chance.
  Option Z delivers 10.0 points with 50.0% chance, or 24.0 points with 50.0% chance.
  You press <<D>>. You receive -16.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive 76.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive 76.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive -16.0 points by selecting this option. You would have received 10.0 points had you chosen the other option.
  You press <<D>>. You receive -16.0 points by selecting this option. You would have received 24.0 points had you chosen the other option.
  
  Option D delivers 52.0 points with 10.0% chance, or 24.0 points with 90.0% chance.
  Option Z delivers -43.0 points with 5.0% chance, 32.0 points with 47.5% chance, 30.0 points with 23.75% chance, or 26.0 points with 23.75% chance.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  
  Option D delivers 15.0 points with 75.0% chance, or 10.0 points with 25.0% chance.
  Option Z delivers 3.0 points with 60.0% chance, 33.5 points with 20.0% chance, or 34.5 points with 20.0% chance.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<Z>>. You receive 33.5 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<Z>>. You receive 3.0 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<Z>>. You receive 34.5 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  You press <<Z>>. You receive 34.5 points by selecting this option. You would have received 15.0 points had you chosen the other option.
  
  Option D delivers 25.0 points with 100.0% chance, or 25.0 points with 0.0% chance.
  Option Z delivers 16.0 points with 95.0% chance, 48.0 points with 2.5% chance, 46.0 points with 1.25% chance, 42.0 points with 0.625% chance, 34.0 points with 0.3125% chance, or 18.0 points with 0.3125% chance.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  You press <<Z>>. You receive 16.0 points by selecting this option. You would have received 25.0 points had you chosen the other option.
  
  Option D delivers 23.0 points with 10.0% chance, or -6.0 points with 90.0% chance.
  Option Z delivers 2.0 points with 95.0% chance, 8.5 points with 2.5% chance, or 9.5 points with 2.5% chance.
  You press <<Z>>. You receive 2.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive 2.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive 2.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive 2.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<Z>>. You receive 2.0 points by selecting this option. You would have received 23.0 points had you chosen the other option.
  
  Option D delivers either 12.0 points with 100.0% chance, or 12.0 points with 0.0% chance.
  Option Z delivers either 8.0 points with unknown chance, 12.0 points with unknown chance, 14.0 points with unknown chance, or 18.0 points with unknown chance.
  You press <<Z>>. You receive 18.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<Z>>. You receive 12.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<Z>>. You receive 12.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<Z>>. You receive 14.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  You press <<Z>>. You receive 12.0 points by selecting this option. You would have received 12.0 points had you chosen the other option.
  
  Option D delivers 22.0 points with 100.0% chance, or 22.0 points with 0.0% chance.
  Option Z delivers 4.0 points with 1.0% chance, or 23.0 points with 99.0% chance.
  You press <<Z>>. You receive 23.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<Z>>. You receive 23.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<Z>>. You receive 23.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<Z>>. You receive 23.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  You press <<Z>>. You receive 23.0 points by selecting this option. You would have received 22.0 points had you chosen the other option.
  
  Option D delivers 34.0 points with 10.0% chance, or 0.0 points with 90.0% chance.
  Option Z delivers 5.0 points with 99.0% chance, 79.5 points with 0.0312% chance, 80.5 points with 0.1562% chance, 81.5 points with 0.3125% chance, 82.5 points with 0.3125% chance, 83.5 points with 0.1562% chance, or 84.5 points with 0.0312% chance.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  
  Option D delivers -5.0 points with 25.0% chance, or -8.0 points with 75.0% chance.
  Option Z delivers -22.0 points with 75.0% chance, or 57.0 points with 25.0% chance.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  
  Option D delivers 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option Z delivers 0.0 points with 40.0% chance, 41.0 points with 30.0% chance, 43.0 points with 15.0% chance, or 47.0 points with 15.0% chance.
  You press <<Z>>. You receive 43.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 43.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 0.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 0.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<Z>>. You receive 0.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  
  Option D delivers 0.0 points with 100.0% chance, or 0.0 points with 0.0% chance.
  Option Z delivers 0.0 points with 20.0% chance, 0.5 points with 40.0% chance, or 1.5 points with 40.0% chance.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received 1.5 points had you chosen the other option.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received 0.5 points had you chosen the other option.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received 0.0 points had you chosen the other option.
  You press <<D>>. You receive 0.0 points by selecting this option. You would have received 1.5 points had you chosen the other option.
  
  Option D delivers 69.0 points with 5.0% chance, or 11.0 points with 95.0% chance.
  Option Z delivers 7.0 points with 80.0% chance, 33.5 points with 0.1562% chance, 34.5 points with 1.0938% chance, 35.5 points with 3.2812% chance, 36.5 points with 5.4688% chance, 37.5 points with 5.4688% chance, 38.5 points with 3.2812% chance, 39.5 points with 1.0938% chance, or 40.5 points with 0.1562% chance.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  You press <<Z>>.
  
  Option D delivers 21.0 points with 50.0% chance, or -15.0 points with 50.0% chance.
  Option Z delivers -45.0 points with 60.0% chance, or 51.0 points with 40.0% chance.
  You press <<Z>>. You receive -45.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<Z>>. You receive 51.0 points by selecting this option. You would have received -15.0 points had you chosen the other option.
  You press <<Z>>. You receive 51.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<Z>>. You receive -45.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  You press <<Z>>. You receive -45.0 points by selecting this option. You would have received 21.0 points had you chosen the other option.
  
  Option D delivers 15.0 points with 60.0% chance, or -28.0 points with 40.0% chance.
  Option Z delivers -2.0 points with 20.0% chance, or -1.0 points with 80.0% chance.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<D>>. You receive -28.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<D>>. You receive -28.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  
  Option D delivers 15.0 points with 100.0% chance, or 15.0 points with 0.0% chance.
  Option Z delivers 5.0 points with 75.0% chance, or 65.0 points with 25.0% chance.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received 5.0 points had you chosen the other option.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received 65.0 points had you chosen the other option.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received 65.0 points had you chosen the other option.
  You press <<D>>. You receive 15.0 points by selecting this option. You would have received 65.0 points had you chosen the other option.