TITLE: How to describe this structure in spoken words?
QUESTION [9 upvotes]: $$\large f(0) = P(X = 0) = \frac{\binom{3}{0}\binom{17}{2}}{\binom{20}{2}} = \frac{68}{95},$$
I'm working on annotating math (probability and statistics) for the visually impaired that is to be read aloud by a screen reader and don't know what to put for this structure. 
As of now, I've just got something like, "$f$ of zero equals", then I am not sure how to phrase $P(X=0)$ (is it the probability where $X = 0? $), and then really have no idea about those structures in parentheses in the quotient portion. 
Thank you.

REPLY [6 votes]: There are so many different ways that you can do this. Fractions can be read as "[something] divided by [something else]", "numerator: [something] denominator: [something else]" or variations thereupon. Each version has its benefits, so I recommend experimenting with it. As for parenthesis, reading them out loud is not always necessary. In your example, you can get away with not reading them. Nonetheless, I think pauses after each function is helpful to the listener. Here is my recommendation:

"$f$ of $0$ [pause] equals the probability that $X$ equals $0$ [pause] equals $3$ chose $0$ [pause] times $17$ chose $2$ [pause] divided by $20$ chose $2$ [pause] equals $68$ $95^{\text{ths}}$"