|q⟩ Bad Qubits

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Predict the output
This circuit is sampled for 1024 shots on the seeded simulator (seed 136). How many of the shots come out |000⟩? Estimate P(|000⟩) × 1024 and pick the closest option.
⚛ The apparatus
const c = circuit(3);
c.h(0);
c.cp(Math.PI / 2, 0, 1);
c.cp(Math.PI / 4, 0, 2);
c.h(1);
c.cp(Math.PI / 2, 1, 2);
c.h(2);
return c;

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