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How do I solve this? Given a free electron. The Z-component of the electron's spin angular...

How do I solve this?

Given a free electron. The Z-component of the electron's spin angular momentum is +ℏ/2 at some initial time t=0. The electron's spin is then measured at three different times, t=1 s, t=2 s, t=3 s respectively. The x-component of the spin is measured at t=1, and the y-component is measured at t=2. FInally, the z-component is measured at t=3.

What is the probability to measure the value −ℏ/2 at time t=1 seconds? What is the probability to measure the value +ℏ/2 at time t=2 seconds? What is the probability to measure the value −ℏ/2 at time t=1 seconds?

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