|q⟩ Bad Qubits

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Predict the output
This circuit is sampled for 1024 shots on the seeded simulator (seed 9405). 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);       // (|0> + |1>)/sqrt(2) on qubit 0
c.cx(0, 1);   // entangle -> (|00> + |11>)/sqrt(2)
c.cx(0, 2);   // -> (|000> + |111>)/sqrt(2)
return c;

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