There are ten applicants and two places. Someone suggests drawing names from a bowl because it is fair. Random selection can avoid favouring a particular person, but the fairness question begins before the slips enter the bowl.
Who was allowed to apply? Did everyone receive the notice in time? Can every eligible person actually use the opportunity? A perfectly mixed draw can still sit inside an unfair process.
Imagine a free workshop advertised only during a weekday meeting. People working that shift never hear about it. Giving each applicant one slip creates equal chances among applicants, but it does not repair the missing access to the application itself.
Now imagine that one person submits several names while others submit once. The physical draw may be random, yet the chances are no longer equal. The rule about entries matters as much as the mixing.
Ask whether chance is the right principle
A lottery can be sensible when applicants have comparable claims and there is no better relevant distinction. It may be inappropriate when urgency, need or a previously agreed priority should govern allocation.
State the purpose first. Are you sharing a recreational opportunity, allocating essential assistance or choosing a representative? These are different decisions. “Random” should not become a way to avoid explaining which differences matter.
If the group uses a draw, publish eligibility, entry limits, timing and what happens if a selected person declines. Make the process observable without exposing unnecessary personal information. Agree the replacement method before seeing the result.
A disappointed participant need not agree that the outcome benefits them to understand the procedure. The stronger claim is modest: the group chose an appropriate allocation principle, applied it consistently and made the relevant steps visible. Fairness is not guaranteed by a bowl of paper; it is supported by the decisions surrounding it.