That isn't my premise. Historically populations are biased. There is also a possibility that your 33 will not well reflect the population.
There is no system that will eliminate a negative possibility. The best will make a negative far more unlikely.
You could still have some incompetent people in your 33. Perhaps select 38 and have them on a reality TV show until 5 are eliminated. No, don't do that.
An efficient government decision-making system will satisfy these four criteria:
1. It will maximize the intelligence of the decision-makers;
2. It will maximize the training and experience of the decision-makers;
3. It will maximize the trust of the citizenry;
4. It will minimize the chances of a bias that sends the decision off course.
The system of choosing decision-makers, including a leader, by holding democratic elections satisfies none of the criteria. In contrast, the online leaderless expert panel model, with an assist from modern communications technology, can satisfy all four criteria.
Consider giving more power and involvement to juries. Currently juries barely do anything and their pay is more of a punishment than a benefit.
Currently juries in the US are selected from some group like the DMV records which all but guarantees a group of average intelligence with no expertise in making the kind of decisions asked of them.
If I was falsely charged with murder, I'd want a jury highly likely to make the correct decision... "not guilty."
The last thing I would want is an amateur jury of my peers.