A tree diagram has two stages. Stage $1$ has two nodes and stage $2$ has four nodes.$*$ In stage $1,$ the branch from the starting position to node A is labeled $0\mathrm{.}9.$ The branch from the starting position to node B is an answer blank.$*$ In stage $2,$ the branch from node A to node C is labeled $0\mathrm{.}4.$ The branch from node A to node D is an answer blank.$*$ In stage $2,$ the branch from node B to node C is an answer blank. The branch from node B to node D is labeled $0\mathrm{.}6.$OutcomeP$($A C$)=$P$($A D$)=$P$($B C$)=$P$($B D$)=$