Is there a typo is this lecture? (Hidden Markov Models)

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Lecture in question: https://www.cse.buffalo.edu/~jcorso/t/CSE555/files/lecture_hmm.pdf
Slide #6 shows this graph:
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Slide #7 gives these probabilities:
enter image description here

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.