Question

Let A,B,C be three events, and let X=Ia,Y=Ib, and Z=Ic be the associated indicator random variables. We already know that X.Y is the indicator random variable of the event A(intersection)B. In the same spirit, give an algebraic expression, involving X,Y and Z for the indicator random variable of the following events.Express your answers in terms of X,Y and Z.
1. The event Ac∩B∩C.
2. At most two of the events A,B,C occurred.

Answer 1

according to me the answer to part 1 is (1-x)*y*z.
correct me if i am wrong

Answer 2

1. The event Ac∩B∩C.
Answer: (1-x)*y*z --Divine you right
2. At most two of the events A,B,C occurred.
Answer: 1-(X*Y*Z)

Please share answers to other questions as well.