Hey there!
Since we weren't given any probabilities based on the chance of rain after it rained the day before, we can assume the probability will stay the same. We can disregard "If it rains today...".
If it rains 290 days out of the year (365 days), there will be a 290/365 chance of rain of a particular day. You can divide 290 by 365 to get a 79% chance.
Hope this helped you out! :-)