>>12453074>No, you don't. This is a sample space problem, not some schizo video game you're playing in your mind. It's not Zelda, and you're not Link.Yes, you do, and your video game tangent is a complete nonsequitor.
The sample space of the problem is NOT
{(box 1, gold), (box 1, gold ), (box 2, gold), (box 2, silver), (box 3, silver 1), (box 3, silver 2)}
The same space IS
{{gold, gold}, {gold, silver}, {silver, silver}}
The balls are intrinsically and explicitly subsets of the boxes. After the first pick, the problem's sample space is now either:
{{gold}, {gold, silver}, {silver, silver}} with a probability of 2/3
or
{{gold, gold}, {silver}, {silver, silver}} with a probability of 1/3
The solution of 4/9 follows naturally, and is left as an exercise for you (the schizoid) to figure out.
