|q⟩ Bad Qubits

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Predict the output
Sampling this circuit 1024 times on the seeded simulator (seed 959), how many shots land on |000⟩? Estimate P(|000⟩) × 1024 and pick the closest option.
⚛ The apparatus
const c = circuit(3);
c.x(2);          // start at position 1 = |01>

// coin toss
c.h(0);

// decrement when coin = |0>
c.x(0);
c.cx(0, 2);
c.ccx(0, 2, 1);
c.x(0);

// increment when coin = |1>
c.ccx(0, 2, 1);
c.cx(0, 2);

c.measure();
return c;

Commit your prediction for counts of |000⟩ over 1024 shots — then run it.