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"?

Carlos, an algebra teacher, is creating a series of powerpoint presentations to use during class lectures. after writing, formatting, and stylizing the first presentation, he would like to begin writing the next presentation. he plans to insert all-new content, but he wants to have the same formatting and style as in the first one. what would be the most efficient way for carlos to begin creating the new presentation? going under the file tab and opening the first presentation, deleting all content from each page, and adding new content going under the file tab and clicking on new in the left pane, then choosing new from existing going under the design tab and clicking on themes, then selecting the theme that was used for the first template going under the design tab and opening the template that was created for the first presentation