Probability theory requires a solid grounding in real analysis. Undergraduate real analysis alone is one year worth of material, and this is assuming that you a

Probability theory requires a solid grounding in real analysis. Undergraduate real analysis alone is one year worth of material, and this is assuming that you already know how to write basic proofs. If all you know is some calculus tricks, as taught to engineering students, then you can probably compute probabilities, but you aren't ready to understand probability theory. Fortunately, most users of statistical tests don't really need to know probability theory anyway. This even includes some statisticians.