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 = ¬b 1,1 ∧b 1,2 ∧b 2,1
known = ¬p 1,1 ∧¬p 1,2∧ ¬p 2,1 what's the probability of a pit at [1,3], given the evidence so far ( P(P 1 , 3 |known, b))? (Find the most simplified expression.)

Question

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 = ¬b 1,1 ∧b 1,2 ∧b 2,1 
 known = ¬p 1,1 ∧¬p 1,2∧ ¬p 2,1 what's the probability of a pit at [1,3], given the evidence so far ( P(P 1 , 3 |known, b))? (Find the most simplified expression.)

Accepted Answer

P(P 1,3 |known, b) = α′P(P 1,3 ) ΣfrontierP(frontier)

Answer

αΣfrontierP(b | known, P 1,3 , frontier) ΣotherP(P 1,3 ) P(known) P(frontier) P(other)

Answer

P(P 1,3 |known, b) = α′P(P 1,3 )

Answer

P(P 1,3 |known, b) = αΣunknownP(P 1,3 , known, b, unknown)

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In the Wumpus world, A breeze or not in each visited square and no pit in any vi...

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