Visualizing Spin Up/Down Probabilities of an Electron Wave Function

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Hyperreality
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A wave function psi = 3i|up> + 1|down> corresponding to the spin of the electron.

If I want to draw the distribution of the measured outcome, do I do the following?Probability of spin up = 0.9

Probability of spin down = 0.1

So I would draw a bar graph showing that spin up has a value of 0.9 and spin down have a value of 0.1. Is this right?
 
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Hyperreality said:
A wave function psi = 3i|up> + 1|down> corresponding to the spin of the electron.

If I want to draw the distribution of the measured outcome, do I do the following?


Probability of spin up = 0.9

Probability of spin down = 0.1

So I would draw a bar graph showing that spin up has a value of 0.9 and spin down have a value of 0.1. Is this right?

Yes. Since it is a discrete variable, the only way to plot the probabaility distribution is as a bar chart.