On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four  hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in any of the four locations. The other team will then have the chance to search any two locations. The searching team gets a bonus point if they find both members of the hiding team. If they miss both, they lose a point. Otherwise, the
outcome is a draw.

a.    Set up the problem as a two-person zero-sum game.
b.    Determine the optimal strategy and the value of the game