We start with complete ignorance regarding the robot's position. The yellow bin is a barrier bin. The robot can neither start at that bin, nor get there. Our robot has a color sensor that detect colors according to these probabilities: • If the robot is on a RED bin, the sensor will report RED 80% of the time, GREEN in 10% and BLUE in 10%.
• If the robot is on a GREEN bin, the sensor will report GREEN 70% of the time, RED in 10% and BLUE in 20%.
• If the robot is on a BLUE bin, the sensor will report BLUE 50% of the time and GREEN in 50%.
The world is not cyclic, i. e., when the robot reaches a wall it stays in that bin. The robot sensed the color "GREEN" and then the robot moved to the left and then down (the movement is 100% accurate).
A. What is the probability that the robot will sense now "RED"?