A small country owns 10,000 gold ingots that are stored in 100 guarded bins, each holding 100 ingots. One of the guards has stolen an ingot from each bin and replaced it with a bar of pyrite (fool's gold). The captain of the guards is suspicious that thievery has taken place and is considering two methods for detecting the theft. The first method is to select and examine one ingot from each bin. The second method is to select 25 bins and then select four ingots from each bin. Which method has the best chance of detecting the theft?