I also think this question is worded poorly. I was so hung up on what the hell you meant by "the other one" that by the time I realized what it was supposed to mean, I'd kinda realized that there were a couple of different scenarios and realized why they have different probabilities associated with them.
Wording it as, "What are the chances that both of the dogs are male, now that you know that at least one of them is?" "The other one" makes it so ambiguous because it seems to heavily imply that we're talking about one dog being male and one other one being in question, which kind of isn't really what's going on.
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