Weather Forecast

Discrete Mathematics Level 3

In Malaysia, we don't have four seasons. Everyday, it's either sunny, windy or rainy. After living in this lovely country for 19 years, I've got to a conclusion :

  • We never have two rainy days in a row. (Hooray!)
  • If we have a rainy day, it's just as likely to have a sunny day as a windy day tomorrow.
  • If we have a sunny or a windy day, there's an even chance of having the same the next day.
  • If there is change from sunny or windy, only half of the time is this a change to a rainy day.

Given that today is a rainy day, then which of the following is more likely to occur?


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