Robot is in the world with 3 locations A, B, C.The probability tha.pdf
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The document describes a robot located in three areas (a, b, c) with equal initial probabilities of being in any location. It has an unreliable color sensor that correctly identifies colors with a probability of 0.9. The document poses questions about calculating the probability that the robot is in each location based on its current observation of the color red.
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![Robot is in the world with 3 locations A, B, C.
The probability that the Robot is in one of location is: P (A) = P(B) = P(C ) = 1/3.
The color of location A is Red while the colors of location B and C are Green.
Robot has a sensor to detect a color, but the sensor is unreliable. The probability that it senses the
color of location correct is only 0.9 for each location.
P(Red | A) = P(Green | B) = P(Green | C) = 0.9
Robot is seeing Red currently.
[1] What is the probability that the Robot is in location A?
[2] What is the probability that it is in location B?
[3] What is the probability that the Robot is in C?
Solution](https://image.slidesharecdn.com/robotisintheworldwith3locationsabc-230707193901-0ebe6dd3/85/Robot-is-in-the-world-with-3-locations-A-B-C-The-probability-tha-pdf-1-320.jpg)
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Robot is in the world with 3 locations A, B, C.The probability tha.pdf
- 1. Robot is in the world with 3 locations A, B, C. The probability that the Robot is in one of location is: P (A) = P(B) = P(C ) = 1/3. The color of location A is Red while the colors of location B and C are Green. Robot has a sensor to detect a color, but the sensor is unreliable. The probability that it senses the color of location correct is only 0.9 for each location. P(Red | A) = P(Green | B) = P(Green | C) = 0.9 Robot is seeing Red currently. [1] What is the probability that the Robot is in location A? [2] What is the probability that it is in location B? [3] What is the probability that the Robot is in C? Solution