I have this exercise that I'm having trouble with, specifically on the conditional probability and intersection use. It goes like this:
A binary communication channel, constituted by a transmitter and a receiver, only transmits 0 or 1.
-The probability of a 1 being transmitted is 0.4
-The probability that a transmitted 0 is correctly received is equal to 0.9
-The probability that a transmitted 1 is correctly received is equal to 0.95
Determine the probability of an error.
To me, what makes sense is using the conditional, since you know that in order for an error to occur you have to either have transmitted one of the two possible signal and received the opposite. However, the solution uses the intersection probability to get the result.