4. For two single experiments consider the probability spaces W = (S, P), W = (S2, P2) Performing the experiments independently is modeled by W = W x W = (S,p) (1) If both experiments are about dice and i [1:12]. What are the probabilities that i eyes are up, that is, of the events A = {(a,b) | a+b=i} (2) Try this if you read upcoming slides: what is the expected value E(X) of the random variable X = a + b? Hint: be extremely lazy.