That's an interesting question, too a subject that many people have probed into in the past. I must assert that the question you have asked just is not little botherly settled.
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This quote means that his inventions did not come from a stroke of genius, but from many hours of working hard through trial and error in his lab.
No. Trial is a noun, or an adjective, meaning "test".
Errors that do not affect the trial balance errors that affect the outcome of the trial balance
COnsider some event A and the number of outcomes that are favourable to A. Then the probability of A is the number of such outcomes as a proportion of all possible outcomes (related to the trial or experiment). Defined as a proportion in this way, it can never be greater than 1. Converted to a percentage, that means it can never be greater than 100 percent.
66.1764705883% I'm not sure what the correct way is, to reach that answer, but I just used trial and error taking 6.8 times different numbers until the answer was 45.0000000000, then I moved the decimal one to the right and added the "%".