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As much as it must suck for those that wont he first time around, this is obviously the only fair choice. A random choice that is limited to a particular subset is NOT random for the entire set. Only those in the subset would have a non-zero chance.
It has nothing to do with faith. Even the dullest of retards can grasp science concepts at a basic level. Any idiot can understand that Gravity is real; he doesn't need to know the formula to determine gravitational acceleration of a near-earth body or the cosmological equations regarding gravity wells to understand that if he falls off a roof, something will likely hurt.
This same concept exists all the way up through any form of testable science. For an explanation as to why it is so hard to explain simple intuitive subjects, I will let a far greater man than I take over: