关于Hidden Markov Models讲义Slide7中P(Dry|High)=0.3是否为笔误的咨询

Great question—let’s break this down using the context from the HMM lecture materials you’re referencing:

• First, check the probability normalization: If the notes also list P(Rainy|High) = 0.7, then these two values sum to 1, which satisfies the basic axiom of probability for mutually exclusive, exhaustive observations. Mathematically, this is consistent on its own.
• Now, consider the real-world intuition: High atmospheric pressure is strongly associated with dry, clear weather, while low pressure correlates with rainy conditions. If the notes frame "Dry" and "Rainy" as standard weather observations, then P(Dry|High) = 0.3 runs counter to this intuition. This makes it highly likely that this is a typo, and the intended values should be swapped: P(Dry|High) = 0.7 and P(Rainy|High) = 0.3.
• A less likely edge case: It’s possible the lecture uses a non-standard definition for the "Dry" observation (e.g., referring to high humidity instead of low), but this would be an unusual framing without explicit clarification.

To confirm, cross-reference with the state-observation diagram on page 6: if the diagram visually links High pressure to Dry conditions, that would further support that the 0.3 value is a typo.

内容的提问来源于stack exchange，提问作者Juan