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The castaways act like they're going to be rescued the minute they launch the raft with the professor's phosphorescent dye.  In other episodes, indications are that the island is somewhere southeast of Hawaii, which is not exactly a high traffic area.  Travel between Hawaii and mainland United States would be in the northeast direction.  To get from Hawaii to anywhere from Japan to Australia would have to travel west.  The only traffic to the southeast would be heading to/from South America which is not very much, if any.

In short, launching a raft with some glowing dye has very little chance of getting them rescued.

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