I need help understanding independent vs dependent probability events. I already watched a youtube video and somewhat got it but the one in the book still does not make any sense to me. My fear is that if it comes up in midterm then I need to based on the book equation which is P(A) = P(A l B) This exercise is throwing me off.

Q: A statistical experiment has 11 equally likely outcomes that are denoted by A, B, C, D, e, f, g, h, i, j, and k. Consider three events: A={b,d,e,j}, B={a,c,f,j}, and C={c,g,k}. Are events A and B independent events? What about events A and C?

Answer:

P(A)=4/11 and P(A|B)=1/4. Since these probabilities are not equal, A and B are dependent.

P(A)=4/11 and P(A|C)=0. Since these probabilities are not equal, A and C are dependent.