Dictator a is planning to slaughter the people of province q and province q anticipates the attack. Dictator a can either attack by air or by sea. Province q can either prepare for an aerial defense or a defense againt an assault by sea. Both sides must choose either an all air or all sea strategy, and they can't divide their armed forces. Given:

* If Dictator a attacks by sea and q defends by sea, the probability of massive slaughter is 80%.
* If Dictator a attacks by sea and q defends by land, the probability of massive slaughter is 100%.
* If Dictator a attacks by land and q defends by land, the probability of massive slaughter is 60%.
* If Dictator a attacks by land and q defends by sea, the probability of massive slaughter is 100%.

What should the strategy of Dictator a be, assuming the goal is to slaughter as many people of Province q as possible? Assume the goal of Province q to be to minimize the probability of mass slaughter. What is the final probability of mass slaughter assuming both utilize an the best strategy?