The carriers can do that and the Kamikazes cannot be used since it is a non-combat move. The Kamikazes can only be used when defending against an attacking fleet of Allied warships (though they cannot hit planes, subs, or transports).
Anti Aircraft
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What are the rules for AA? If I have 10 planes landing over london, does one AA get to roll one dice for each plane?
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Yes, 1 AA can roll a die for each attacking airplane attacking units in the zone. Roll of 1 hits the plane.
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Remember that there are built in AA Guns for each facility, so if you bomb a factory or base in a territory without an AA Gun, your bombers will still get shot at.
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Anyone up for a game if so go to 2vs2 games and its labeled A&A Global Game