But you're of course idealizing your Bible analogy.
First off, the 10 disciples didn't turn in 10 identical lists. So there are internal discrepencies in the 10 lists.
Second off, I have no reason to believe the 10 disciples other than the mere existence of their lists; and I have reason to doubt their intentions in publishing them. Remember, if I rely the lists, I am not allowed to investigate the physical evidence myself, or even read dissenting lists.
Third off, I (as Player 2) may not have been able to observe the objects themselves, but fortunately I have a huge forensics lab at my disposal, which can tell me that it is highly probable that 7 of the objects were an orange (based on residual citrus oils), a chinchilla (a hair and some skin cells), a newspaper (some ink smudged off and a small flake of paper), a baseball (leather tanning oils and some grass residue from the outfield), a pastrami sandwich (bread crumbs and a tiny bit of meat), a blue cotton polo shirt (textile fibers) and a brick (red clay and silica residue). 3 of the items didn't leave enough residue to be identified.
So, do I believe loosely written accounts from long-distance witnesses I have no reason to trust (and quite a bit of reason not to trust), or do I believe a report compiled by people trained in scientific investigation, backed up with microscopic pictures, chromatography, and spectral analysis of the evidence, and compared to known samples for identification?