Robot is in the world with 3 locations A, B, C. The probability that the Robot i

Question

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?

Explanation / Answer

Answer:- Let us assume that the robot world is triangular in shape and it can be atleast on of the 3 points of Triangle.

A. If the Robot is seeing Red Currently there is 100% chances that it can't be at Position A because as per the question the color location of A position is red.

B & C . According to law if the probablity for bein 1 location is some value then probablity of being at another location is 1-value

i.e.Probablity that it is in location B=(1-0.9) =0.1

Similarly,probability that the Robot is in C(1-0.9) =0.1

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