(1) What is the probability for the face '6' turns up twice in 4 rolls of a die? (2) P(A)=0.28 and P(B)=0.44. If P(A B)=0.57, then, what is P(A B)? (3) A company receives shipments of X from three suppliers S1, S2 and S3 (54%, 35%, 11% from each supplier). Quality control by three suppliers are; 97%(3% bad), 95%(5% bad) and 92%(8% bad). Suppose one random selection of X is found bad, then what are the probabilities that the item has come from each suppliers? Show the corresponding Venn diagram (or tree diagram).