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Born's Rule

The probability of finding a particle in a given state is proportional to the square of the amplitude of the wavefunction at that point.
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The statement of the theorem

For a normalized wavefunction Ψ(r)\Psi(\mathbf{r}), the probability density ρ(r)\rho(\mathbf{r}) of finding the particle at position r\mathbf{r} is given by the square of the magnitude of the wavefunction:\nρ(r)=∣Ψ(r)∣2\rho(\mathbf{r}) = |\Psi(\mathbf{r})|^2