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CMPT 380 A - Artificial Intelligence (FA 2025)

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How to calculate the value of P(cavity ∨ toothache) based on the following the full joint distribution?

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How to calculate the value of P(cavity | toothache) = P(cavity ∧ toothache) / P(toothache) based on the following full joint distribution?

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In the Wumpus world, A breeze or not in each visited square and no pit in any visited square are abbreviated as b & known:

b = ¬b1,1∧b1,2∧b2,1

known = ¬p1,1∧¬p1,2∧¬p2,1

what's the probability of a pit at [1,3], given the evidence so far (P(P1,3|known, b))? (Find the most simplified expression.)

wumpus0wumpus

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In the Wumpus world, A breeze or not in each visited square and no pit in any visited square are abbreviated as b & known:

b = ¬b1,1∧b1,2∧b2,1

known = ¬p1,1∧¬p1,2∧¬p2,1

what's the probability of a pit at [1,3], given the evidence so far (P(P1,3|known, b))? (Find the most simplified expression.)

wumpus0wumpus

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Which one is a true statement?

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How to calculate the value of P(cavity ∨ toothache) based on the following the full joint distribution?

table

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0%
0%
View this question

How to calculate the value of P(cavity ∨ toothache) based on the following the full joint distribution?

table

0%
0%
0%
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Toothache

& Catch are not absolutely

independent, but

are

independent given either the presence or absence of a cavity

(each is caused by the cavity but otherwise, they are independent).

Which expresses the conditional independence given Cavity?

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How to calculate the value of P(cavity | toothache) = P(cavity ∧ toothache) / P(toothache) based on the following full joint distribution?

table

View this question

How to calculate the value of P(cavity | toothache) = P(cavity ∧ toothache) / P(toothache) based on the following full joint distribution?

table

0%
100%
0%
0%
View this question

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