Probabilistic Formula

I am looking for an experienced freelancer to help me develop a probabilistic formula for specific events. The data is random on the probability of this event occurring, so the freelancer will need to analyze and utilize this data in order to generate a reliable algorithm. The end goal is to produce an output that can be presented as an algorithm. I'm looking for the highest quality work and prompt communication. If you think you can help me achieve this, please submit a proposal. Thanks!

I need some help formulating some Probabilistic Problems. For example:
10 spheres of 1cm diameter are randomly placed on a line segment of 10 meters.

a. What is the probability of 2 spheres being within 1 cm or closer to each other
b. What is the probability of any of the 10 spheres being within 1 cm of each other