Suppose, we have the following distribution for a number of subscribers of HBO Network:
\begin{matrix} \text{TV-Show/Sex} & \text{Male} & \text{Female} & \text{Sum}\\ \text{Game-of-Throne} & 0.16 & 0.24 & 0.40\\ \text{West-world} & 0.20 & 0.05 & 0.25\\ \text{Others} & 0.10 & 0.25 & 0.35\\ \text{Sum} & 0.46 & 0.54 & 1 \end{matrix}
I understand that 46% of the viewers are Males.
But, is $0.46$ a marginal distribution of (Sex=Male) w.r.t. TV-Show, or, is it a marginal distribution of TV-Show w.r.t. (Sex=Male)?
I have never encountered one talking about marginal distribution of $X$ with respect to an event or vice versa. You have two random variables TV-show and Sex, and is 0.46 a probability of an event with respect to the marginal distribution of Sex. In other words; it is the marginal probability that a subscriber is male.