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Are you sure they will have a chance to fire 16-17 missiles?i understand what you are saying, but you have to consider cost effectiveness. let's just say that the ballistic missile is 60% effective and your ABM system is 90% effective. meaning the ballistic missile has a 6% chance to hit. which means it'll cost you 16-17 missiles to take out a ship.
now let us consider how much a ship cost compared to a missile...
you get the point right?