You will see two Island Events soon after beginning a new tribe (usually within the first hour). After that, events typically occur about once a day. It sounds like you haven't been playing long enough to see very many events, but there are some things to keep in mind: Pausing the game can reduce the number of events in the game, since time must be progressing in the game for an event to occur, and changes in the computer's system clock will disrupt the game's scheduling of events.
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Barbara
Unicorn
Last Day of Work