counting principle one face that the number of ways of a and event B can occur can be calculated by acids together the number of ways event a and event B

From the counting principle, we have:
If there are "J" ways to do one thing and "K" ways to do another thing, the number of ways to do "J and K" is found by multiplying J and K.
Thus, we multiply two events when we want the number of ways to get those 2 events.
The statements tells us that we add the two events, which is wrong(!)
So, the answer is
False