Here’s the guide literally no one asked for. After spending hours counting soup cans while a machine laughed at me and a weird puppet whispered nonsense into my ears, here are the fruits of my effort:

I simply pulled 10,000 cans out of the machine and counted my results. Every 500 cans, I took a break and recorded an inbetween result:

If we take the midpoint, the probability for the Bacon Soup Can is 64,97%; for the Bean Can 33,99%; and for the Golden Can 1,04%.

Of course, these numbers are not 100% exact, so the true probabilities likely lie within the following ranges:

Bacon Soup Can: 64,03% – 65,91%

Bean Can: 33,06% – 34,92%

Golden Can: 0,84% – 1,24%