Nerdy medical doctor trying to create a mathematical model without the mathematical ability to create the proper notation. Help?

Question

How would I express the following concept in accepted mathematical notation? :

As variable a plus variable b approach infinity the probability of event c occurring approaches 1.

and,

the probability of b is directly proportional to a

I want to acknowledge that I may be coming across as a crazy person in my ignorance

Thanks in advance!

Answer 1

First one: $$\lim_{{a+b} \to \infty}\mathbb{P}(c) = 1$$ where $\mathbb{P}$ is the probability function.

Second one:

$$\exists k \ni \forall b, \mathbb{P}(b) = k \times \mathbb{P}(a)$$