Quantum Mechanics Q:
Suppose we have a qubit in the state (thi) = a|0 + (sqrt(1-a^2) |1, where a E [-1,1]. If we first perform a standard basis measurement on this qubit and then perform a |u, |uperp basis measurement where |u = b|0 + (sqrt(1-b^2)) or b E [-1,1].

What is the probability of the second outcome is "u". Express answer in terms of a and b.

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I think i have the first two
1. A^2
2. 1-A^2

Not sure the rest or the final answer.

Question

Quantum Mechanics Q:
Suppose we have a qubit in the state (thi) = a|0> + (sqrt(1-a^2) |1>, where a E [-1,1]. If we first perform a standard basis measurement on this qubit and then perform a |u>, |uperp> basis measurement where |u> = b|0> + (sqrt(1-b^2)) or b E [-1,1].

What is the probability of the second outcome is "u". Express answer in terms of a and b.

-----------
I think i have the first two
1. A^2
2. 1-A^2

Not sure the rest or the final answer.