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3. (20 points) Consider the particle filter problem with five particles (small circles), please update the posterior P(a2), P(b2), P(c2) and P(b3) based on the

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3. (20 points) Consider the particle filter problem with five particles (small circles), please update the posterior P(a2), P(b2), P(c2) and P(b3) based on the measurement of black. Assuming that P(black | black grid) = 0.8, P(black | white grid) = 0.1

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