# A Visit from our Neighbours

**Discrete Mathematics**Level 4

Let the probability that the aliens are thrilled be \(P\). Find \(\lfloor 100 P \rfloor\).

**Details and assumptions**:

- Assume that Earth is a perfect sphere, and \(70.8 \%\) of Earth's surface is underwater.
The longitude and latitude are chosen randomly and uniformly from \((-180 ^{\circ} , 180 ^{\circ} ]\) and \([- 90 ^{\circ}, 90 ^{\circ} ]\) respectively.

Check out a follow-up tougher problem in my solution once you have attempted this problem (or revealed solution).