Uncertainty in AI: Conditional Independence & Bayes Rule

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How does p(catch, toothache, cavity) have 7 entries.... why is he subtracting that 1 ?
He did something similar to say he reduced 32 to 10 instead of 12 by subtracting 1 from p(catch, toothache, cavity) and 1 from p(weather). What exactly does he mean by parameters ?

shashankramesh
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What do we exactly mean by the term "parameter"?

nayananandvats
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How values of join prob
Becomes 32 here ..pls help me to calculate.

AnshuandArika