an inspector wants to find the illegal card game which can be in one of five diffent locations that can be chosen by the host of the card game. The inspector is only able to get to one of the locations. If he chooses the location with the illegal card game then he gets a payoff of k > 0 and the host gets - k. Otherwise both the inspector and the host get 0. Find all the pure and mixed strategy Nash equilibria of this game? can you also explain the difference between pure and mixed strategy NE with another example?