1. Students are placed into small groups and asked to calculate the probability that an unknown state $\vert \psi \rangle$ will be found in the new state $\vert \epsilon \rangle$, where $\epsilon$ can be spin 1, 0, or -1 in the x, y, or z-direction.
2. Using these probabilities, students will find what each unknown state $\vert \psi \rangle$ is in the z-basis.

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