please solve 1 through 4 and show work please

MAT 120-Chapter 3 Quiz Part 2: All work must be shown for credit. Calculator Keystrokes count as work. 1) You toss a pair of dice, list the sample space: 2) After a placement exam, students at a college can place into either developmental mathematics, or college level mathematics. If the probability a randomly selected student takes the placement exam is and places into developmental mathematics is .52, what is the probability that student will place into college level mathematics? 3) Circle the probabilities below that are invalid and state why they are invalid: P(R) = .57 P(S)= 4/5 P(T)=1.34 P(U)= -.23 P(V)= 7/4 Why? 4) There are five buildings on campus, A, B, C, D, and E. If .40 of the classes are taught in building A, .15 are taught in building B, . 10 are taught in building C and .20 are taught in building D, what is the probability a class will be taught in building E