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 6.0 points with 100.0% chance, or 6.0 points with 0.0% chance.
  Option J delivers -18.0 points with 75.0% chance, or 36.0 points with 25.0% chance.
  You press <<Y>>. You receive 6.0 points by selecting this option. You would have received -18.0 points had you chosen the other option.
  You press <<Y>>. You receive 6.0 points by selecting this option. You would have received -18.0 points had you chosen the other option.
  You press <<Y>>. You receive 6.0 points by selecting this option. You would have received -18.0 points had you chosen the other option.
  You press <<Y>>. You receive 6.0 points by selecting this option. You would have received -18.0 points had you chosen the other option.
  You press <<Y>>. You receive 6.0 points by selecting this option. You would have received -18.0 points had you chosen the other option.
  
  Option Y delivers -6.0 points with 100.0% chance, or -6.0 points with 0.0% chance.
  Option J delivers -8.0 points with 99.0% chance, 15.5 points with 0.5% chance, or 16.5 points with 0.5% chance.
  You press <<J>>. You receive -8.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<J>>. You receive -8.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<J>>. You receive -8.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<J>>. You receive -8.0 points by selecting this option. You would have received -6.0 points had you chosen the other option.
  You press <<J>>. You receive -8.0 points by selecting this option. You would have received -6.0 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 J delivers -2.0 points with 50.0% chance, or -1.0 points with 50.0% chance.
  You press <<Y>>. You receive 3.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Y>>. You receive 3.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Y>>. You receive 3.0 points by selecting this option. You would have received -1.0 points had you chosen the other option.
  You press <<Y>>. You receive 3.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  You press <<Y>>. You receive 3.0 points by selecting this option. You would have received -2.0 points had you chosen the other option.
  
  Option Y delivers either 18.0 points with 100.0% chance, or 18.0 points with 0.0% chance.
  Option J delivers either -14.0 points with unknown chance, 80.5 points with unknown chance, 81.5 points with unknown chance, 82.5 points with unknown chance, 83.5 points with unknown chance, 84.5 points with unknown chance, or 85.5 points with unknown chance.
  You press <<J>>. You receive 82.5 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<J>>. You receive -14.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<J>>. You receive -14.0 points by selecting this option. You would have received 18.0 points had you chosen the other option.
  You press <<Y>>. You receive 18.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  You press <<Y>>. You receive 18.0 points by selecting this option. You would have received -14.0 points had you chosen the other option.
  
  Option Y delivers 16.0 points with 50.0% chance, or -22.0 points with 50.0% chance.
  Option J delivers -1.0 points with 50.0% chance, 8.5 points with 1.5625% chance, 9.5 points with 7.8125% chance, 10.5 points with 15.625% chance, 11.5 points with 15.625% chance, 12.5 points with 7.8125% chance, or 13.5 points with 1.5625% chance.
  You press <<J>>. You receive -1.0 points by selecting this option. You would have received -22.0 points had you chosen the other option.
  You press <<J>>. You receive -1.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<J>>. You receive 10.5 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<J>>. You receive -1.0 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  You press <<J>>. You receive 9.5 points by selecting this option. You would have received 16.0 points had you chosen the other option.
  
  Option Y delivers either 34.0 points with 80.0% chance, or -9.0 points with 20.0% chance.
  Option J delivers either 19.0 points with unknown chance, 21.0 points with unknown chance, 25.0 points with unknown chance, 33.0 points with unknown chance, 49.0 points with unknown chance, 81.0 points with unknown chance, or 145.0 points with unknown chance.
  You press <<Y>>. You receive 34.0 points by selecting this option. You would have received 33.0 points had you chosen the other option.
  You press <<J>>. You receive 33.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  You press <<J>>. You receive 21.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  You press <<J>>. You receive 21.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  You press <<J>>. You receive 19.0 points by selecting this option. You would have received 34.0 points had you chosen the other option.
  
  
  Option Y delivers either 4.0 points with 75.0% chance, or -16.0 points with 25.0% chance.
  Option J delivers either -9.0 points with unknown chance, or 20.0 points with unknown chance.
  You press <<J>>. You receive -9.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<J>>. You receive -9.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<Y>>. You receive -16.0 points by selecting this option. You would have received -9.0 points had you chosen the other option.
  You press <<J>>. You receive -9.0 points by selecting this option. You would have received 4.0 points had you chosen the other option.
  You press <<J>>. You receive -9.0 points by selecting this option. You would have received -16.0 points had you chosen the other option.
  
  Option Y delivers 30.0 points with 100.0% chance, or 30.0 points with 0.0% chance.
  Option J delivers -29.0 points with 10.0% chance, or 32.0 points with 90.0% chance.
  You press <<J>>. You receive 32.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<J>>. You receive -29.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<J>>. You receive 32.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<J>>. You receive 32.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  You press <<J>>. You receive 32.0 points by selecting this option. You would have received 30.0 points had you chosen the other option.
  
  Option Y delivers -6.0 points with 100.0% chance, or -6.0 points with 0.0% chance.
  Option J delivers -13.0 points with 95.0% chance, 89.5 points with 0.1562% chance, 90.5 points with 0.7812% chance, 91.5 points with 1.5625% chance, 92.5 points with 1.5625% chance, 93.5 points with 0.7812% chance, or 94.5 points with 0.1562% chance.
  You press <<Y>>.
  You press <<J>>.
  You press <<J>>.
  You press <<J>>.
  You press <<J>>.
  
  
  Option Y delivers either 26.0 points with 100.0% chance, or 26.0 points with 0.0% chance.
  Option J delivers either 21.0 points with unknown chance, or 76.0 points with unknown chance.
  You press <<J>>. You receive 21.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<J>>. You receive 21.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<J>>. You receive 21.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<J>>. You receive 21.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  You press <<J>>. You receive 21.0 points by selecting this option. You would have received 26.0 points had you chosen the other option.
  
  Option Y delivers 11.0 points with 80.0% chance, or -36.0 points with 20.0% chance.
  Option J delivers -42.0 points with 5.0% chance, or -8.0 points with 95.0% chance.
  You press <<Y>>. You receive 11.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<Y>>. You receive -36.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<Y>>. You receive 11.0 points by selecting this option. You would have received -42.0 points had you chosen the other option.
  You press <<Y>>. You receive -36.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  You press <<Y>>. You receive 11.0 points by selecting this option. You would have received -8.0 points had you chosen the other option.
  
  
  
  
  Option Y delivers either 0.0 points with 75.0% chance, or -15.0 points with 25.0% chance.
  Option J delivers either -5.0 points with unknown chance, or -3.0 points with unknown chance.
  You press <<Y>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<Y>>. You receive 0.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<Y>>. You receive 0.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<Y>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  You press <<Y>>. You receive 0.0 points by selecting this option. You would have received -5.0 points had you chosen the other option.
  
  Option Y delivers either -3.0 points with 100.0% chance, or -3.0 points with 0.0% chance.
  Option J delivers either -2.0 points with unknown chance, 4.0 points with unknown chance, 6.0 points with unknown chance, 10.0 points with unknown chance, 18.0 points with unknown chance, 34.0 points with unknown chance, 66.0 points with unknown chance, or 130.0 points with unknown chance.
  You press <<J>>. You receive -2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<J>>. You receive -2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<J>>. You receive 6.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<J>>. You receive 10.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  You press <<J>>. You receive -2.0 points by selecting this option. You would have received -3.0 points had you chosen the other option.
  
  Option Y delivers 25.0 points with 75.0% chance, or -7.0 points with 25.0% chance.
  Option J delivers 8.0 points with 90.0% chance, or 53.0 points with 10.0% chance.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  You press <<Y>>. You receive 25.0 points by selecting this option. You would have received 8.0 points had you chosen the other option.
  
  Option Y delivers either 27.0 points with 100.0% chance, or 27.0 points with 0.0% chance.
  Option J delivers either -27.0 points with unknown chance, 37.5 points with unknown chance, 38.5 points with unknown chance, 39.5 points with unknown chance, 40.5 points with unknown chance, 41.5 points with unknown chance, or 42.5 points with unknown chance.
  You press <<J>>. You receive 41.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<J>>. You receive -27.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<J>>. You receive -27.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<J>>. You receive 41.5 points by selecting this option. You would have received 27.0 points had you chosen the other option.
  You press <<J>>. You receive -27.0 points by selecting this option. You would have received 27.0 points had you chosen the other option.