The world has two types of nations: strong and weak. If a strong nation invades a weak nation, it will annex the weak nation (and thus become bigger) but it will itself become weak for some period of time. Strong nations never try to invade other strong nations. A weak nation can only be invaded by one strong nation -- if more than one strong nation chooses to invade the weak nation, the strong nations flip a coin to determine who gets to invade. Each nation wants to be as big as possible, but they do NOT want to be invaded; they would rather stay the same size than be annexed themselves. Assume that the leaders of all the nations are completely rational. There are five strong nations and one weak nation. Will the weak nation get invaded? Explain why or why not.