Lecture in question: https://www.cse.buffalo.edu/~jcorso/t/CSE555/files/lecture_hmm.pdf
Slide #6 shows this graph:

Slide #7 gives these probabilities:
Is P(Dry|High) = 0.3 on slide #7 a typo?
Lecture in question: https://www.cse.buffalo.edu/~jcorso/t/CSE555/files/lecture_hmm.pdf
Slide #6 shows this graph:

Slide #7 gives these probabilities:
Is P(Dry|High) = 0.3 on slide #7 a typo?
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Yes. If there are only two observable states ("Rain" and "Dry"), then the conditional probabilities given high barometric pressure must add to $1$; thus Slide #7 as written is not self-consistent.