To determine after which trial the half-life of Lokium was reached, we first need to understand the concept of half-life in this context. The half-life of a substance is the time it takes for half of the original amount to decay.
In this case, starting with 60 dice:
- After Trial 1: 60 dice (0 removed)
- After Trial 2: 50 dice (10 removed)
- After Trial 3: 41 dice (9 removed)
- After Trial 4: 34 dice (7 removed)
- After Trial 5: 31 dice (3 removed)
- After Trial 6: 27 dice (4 removed)
- After Trial 7: 24 dice (3 removed)
- After Trial 8: 21 dice (3 removed)
- After Trial 9: 16 dice (5 removed)
- After Trial 10: 13 dice (3 removed)
- After Trial 11: 13 dice (0 removed)
- After Trial 12: 12 dice (1 removed)
To find the half-life, we look for when the number of remaining dice reaches half of the original count:
- Original count = 60
- Half of 60 = 30
Looking through the trials:
- At Trial 1, there are still 60 dice (not half).
- At Trial 2, there are 50 dice (still not half).
- At Trial 3, there are 41 dice (still not half).
- At Trial 4, there are 34 dice (still not half).
- At Trial 5, there are 31 dice (still not half).
- At Trial 6, there are 27 dice (now below half).
Thus, the half-life of Lokium was reached after Trial 5 when 31 dice remain, which is still above that threshold of 30, but after trial 6 when we see a drop below 30 (to 27). Hence, the half-life would effectively be considered to have occurred before Trial 6.
However, based on the options given in your question:
- Trial 1
- Trial 6
- Trial 9
- Trial 12
None of these options describe it accurately, but the half-life is effectively reached just after Trial 5.
From the choices: None of the options are correct. However, if you adjust it as more of a range, you could argue it is closest to Trial 6 (as the first indication it drops below half).