[5 pt each for (a) - (e)] Consider an experiment of tossing a coin three times independently. Person A assigns the total number of times that the head of the coin turns up. Another person B assigns 1 if the head turns up in the first toss, 2 if the head turns up for the first time in the second toss, 0 otherwise. Suppose the probability that the head turns up is p, for 0 < p < 1. (a) State the probability space for the experiment. (b) Define two random variables according to the above two persons. (c) State the sigma fields generated by each of the two random variables and also state the sigma field generated by the vector of the two.