One of a car’s headlamps is burnt, but the second lamp is still working. What does this indicate about the connection?

This indicates that the headlamps are connected in parallel.

In a series circuit, if one bulb burns out, the entire circuit breaks, and both lamps stop working.

In a parallel circuit, each lamp has an independent path to the power source. If one burns out, the other continues working normally.

This is why automobile headlights are wired in parallel, ensuring one light remains functional if the other fails.

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