Called ranked-choice voting here in the USA. NYC uses it for some local elections but it's not common.
Don't know how it works in your country, but two really big issues with this so-called responsibility right now:
1) With all the civil litigation in the US, jury duty has morphed from what used to be perhaps a once in a lifetime thing into an annual ritual for many. Sure, if they actually pick you for a jury you're in the clear for the next four years. If not, you might get called again the next year. Besides that, it's one thing to have your life disrupted to decide about someone's freedom but most of the calls for jury duty are from civil court, not criminal court. Sorry, I shouldn't have to waste my time making decisions where only money is involved. Tort lawyers love to roll the dice and play the jury trial card in the hopes they'll get a big award for their client (and themselves) as most tort cases are contingency. Win the lawyer gets a percent, lose they get nothing.
If we made jury duty a once in a lifetime thing (i.e. go down when called, whether or not you're picked for a jury that's the last time you'll ever be called) most would find it palatable.
2) To be excused you usually have to show up the first day you're called to explain why to the judge. Kind of defeats the point. If it's a burden to serve it's also one to show up at all. For example, I'm caretaking for my mother. I can't leave her in the first place to go to court to explain to a judge that I can't serve. There's no way to simply go online and give reasons why you can't serve. Or better yet, a list where they don't send you a summons in the first place if you have a reason you can't serve, like caretaking, disability, age, infirmity, sole proprietorship, etc.
Another issue is the time of day. It might be easier for some people to serve if some courts convened outside of normal business hours but for the most part they don't. Then you have day/night people. Sorry, but my faculties aren't working well until late afternoons. I can't really make any important decisions in the context of a court where I might be fighting my own fatigue for most of the session.
Anyway, I never actually served on a jury, nor would I want to. I only got called once, but my number to go down didn't come up fortunately. I really think we should just follow most of the rest of the world and ditch jury duty. It's been horribly abused by lawyers, especially in the US.