$1\mathrm{.}1$ CHANCE EXPERIMENTS $$ SAMPLE SPACES $98.$ Ir$$ne has four books that she wants to put on a library shelf. Three of these booksform a $3-$volume set of a dictionary, so that they are marked as Volumes I, II$,$ andIII, respectively.$($i$)$ Find an appropriate sample space for all possible ways she can put the books onthe shelf.$($ii$)$ Identify the elements of this sample space that each of the following three eventscontains:B$1$: the three volumes of the dictionary are put next to one another;B$2$: the three volumes of the dictionary are put in the right order $($but notnecessarily in adjacent places$),$ so that Volume I is placed to the left ofVolume II$,$ which in turn is placed to the left of Volume III;B$3$: the three volumes of the dictionary are placed next to one another and inthe right order