I have Two question A and B. I see that given a correct answer to question A correlate with question B. And I see that given a correct answer to A the probability of given a correct answer to B decrease.
I am trying to write Probability of A given B(wrong) or correct but I don't Know the symbol.
P(A|B) = 0.8
This is to say probability of A give B I would like to write probability of A given B (Wrong) someone know how I can set that syntax? Where B has a boolean answer.
P(A|B(wrong answer))
This is what I would like to write but with a Symbol instead of writing B (wrong answer))
\begin{array}{|c|} \hline A& B & \mathrm{Prob.}\\ \hline 0& 0 & a \\ \hline 0& 1 & b \\ \hline 1& 0 & c \\ \hline 1& 1 & d \\ \hline \end{array}
You can assume $0$ to mean wrong answer and $1$ to mean right answer. The table above fully describes the probability distribution on all possible scenarios. Now,
$$P(A=1|B=0) = d$$