Assume you are interested in a room with a light bulb as the only source of light and a single door. The light bulb can be on or off, and the door can be open or closed. The room counts as occupied if there is at least one person at least 10 % of whose mass falls inside the door line. Using \(p\), \(q\), and \(r\) as names representing these properties, respectively, what is the worth of receiving the information ‘\(p V q\)’ , in terms of the number of possibile states of the room they rule out? What if you received ‘\(p \rightarrow r\)’ instead? What if you received both?