Francisco asks the students in his school what pets they have. he studies the events shown. event s: the student has a cat. event t: the student has a dog. francisco finds that the two events are independent. select all the equations that must be true for events s and t.

I found the missing choices. These were:

1) P (S | T) = P (S)
2) P (S | T) = P (T)
3) P (T | S) = P (S)
4) P (T | S) = P (T)
5) P (S υ T) = P(S) * P(T)
6) P (S η T) = P(S) * P(T)

Event S: The student has a cat
Event T: The student has a dog.
both events are independent. Meaning one can exist without the presence of the other.

The TRUE equations are:

1) P (S | T) = P (S)
4) P (T | S) = P (T)
6) P (S η T) = P(S) * P(T)