(Solved): otherwise. Complete parts (a) through (d). Click the icon to view a table of all possible o ...

otherwise. Complete parts (a) through (d). Click the icon to view a table of all possible outcomes of a two dice roll. a. Construct the probability distribution representing the different outcomes that are possible for a $\$4.00$ bet using method one. (Type an exact answer in simplified form.) b. Construct the probability distribution representing the different outcomes that are possible for a $\$4.00$ bet using method two. (Type an exact answer in simplified form.) c. Construct the probability distribution representing the different outcomes that are possible for a $\$4.00$ bet using method three. (Type an exact answer in simplified form.) d. What is the expected long-run profit (or loss) to the player for each of the three methods of play? Method one expected profit (or loss) $\begin{array}{l}?=\$?\\ ?=\$?\\ ?=\$?\end{array}$ $\begin{array}{ll}\text{ Method two expected profit (or loss) }& ?=\$?\\ \text{ Method three expected profit (or loss) }& ?=\$?\end{array}$ (Round to the nearest cent as needed.) Data table Outcomes of a two dice rnll