Suppose we have the following information:

- There is a 60 percent chance that it will rain today.
- There is a 50 percent chance that it will rain tomorrow.
- There is a 30 percent chance that it does not rain either day.

The set of all possible outcomes is (today_rain, tomorrow_rain), (today_rain, tomorrow_sun), (today_sun, tomorrow_rain), (today_sun, tomorrow_sun). Given the probabilities in #1 and #2, the set looks like this: (0.6,0.5), (0.6,0.5), (0.4,0.5), (0.4,0.5). Then, we are trying to find the compliment of the probability of the event (today_sun, tomorrow_sun) which would be 1 - (0.4 * 0.5) = 0.8. However, because the author included #3, the provided answer is 1 - 0.3 = 0.7.

Can someone help me with this?