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Comments on Acceptable, usual to write $\ge 2$ pipes simultaneously?

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Acceptable, usual to write $\ge 2$ pipes simultaneously?

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I'm NOT asking for the solution to this exercise that's publicly accessible. Rather, pls see the green and red underlines. If I apply the author's green definition to the red underline, then $\tilde P({\color{red}{L \mid M_2}}) \equiv P(\color{red}{L \mid M_2} \quad \color{limegreen}{\mid M_1})$.

Is it natural or wont to write $\ge 2$ Conditional Probability pipes simultaneously?

Blitzstein, Introduction to Probability (2019 2 edn), Ch 2, Exercise 26, p 87.
p 12 in the publicly downloadable PDF of curbed solutions.

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2 comment threads

Say No To Multiple Pipes (1 comment)
Accessibility (1 comment)
Say No To Multiple Pipes
whybecause‭ wrote almost 3 years ago

As a direct answer to the question, I can't say what we mean by "natural". But I can tell you that it is not well-defined or even a common "abuse of notation" (as you sometimes see even when a notation doesn't make perfect literal sense) to use two pipes inside a single probability function. Sometimes we write caps (intersection symbols), or commas to pack a bunch of events into the condition. But never a collection of pipes.