The Horizon casino will hold a tournament in June. For 20 weeks, they will hold a weekly drawing, choosing 6 people each week to give them an entrance to the tournament. After each drawing, all entries are discarded before new ones are accepted for the next week. If you have 20 entries, is it better to put in 1 ticket per week, or put them all in at once, or some other option, assuming all weeks have 7500 entries (other than yours)?
There are busy and slow weeks. A slow week will have less total entries for the drawing. Assuming you can predict a busy/slow week, does the answer change? For numerical purposes, let a busy week have 10000 total entries and a slow week have 5000 before you add your entries.
Source: Real-life experience.