Consider a model of a game given by a tree. In this tree, a player, say Player 3, hasan information

Consider a model of a game given by a tree. In this tree, a player, say Player 3, hasan information set with three nodes,x; y and z ; in it. Explain whether each of the following is true or false.(a) The node x is Player 3’s decision node, but y is Player 2’s decision node.(b) Player 3 has three actions at node z and two at node x.(c) The game is one of imperfect information.(d) When she is called upon to move, Player 3 cannot distinguish x from y or y from z.