Japan knew there was only a small possibility she she could not win the war when it bombed Pearl Harbor so what was Japan's strategy?
I think Japan held dangerously flawed and fatal assumptions about the US also. I think they thought the US didn't have the heart for war and would cave into demands about expansion and oil.
My impression is that the Japanese military leadership was deeply divided. The Army was hell-bent for war with America because of the steel embargo and the petroleum situation. They thought (probably correctly) that Roosevelt was trying to starve the Japanese war machine into being unable to overrun China. The Army was always focused on China.
The IJN, especially Yamamoto, had severe reservations about war with America. They knew that in a protracted war, American industry and manpower could overwhelm the Japanese forces. Their calculus before Pearl Harbor was that if they fought with the fleet they had afloat or almost finished and could disable the American fleet, America would not be able to reconstitute its navy for at least two years. They expected Germany to enter the way and divert American resources to Europe, in which they were correct. They hoped that during that two year period they could seize enough resources to bolster their industrial base and that America would prefer to negotiate with them rather than fight a two ocean war.
Of course the Japanese were wrong, but they didn't know that in advance. They botched the declaration of war which was scheduled to be delivered thirty minutes prior to the Pearl Harbor attack and they miscalculated the resulting evaporation of anti-war sentiment in the United States. They failed to catch the American carriers at Pearl Harbor and the American fleet was able to limp through while more carriers were completed. And of course they had no idea of the American intelligence code-breaking that set up the Battle of Midway, where fear of losing a battle led the Japanese to losing the war.