A city engineering department is planning improvements to 3 traffic intersections. All intersections are of equal importance. The chief engineer is asked to list the intersections in the order that the work will be carried out. Note: enter your answer as a fraction, or as a decimal rounded to at least 3 decimal places (if applicable).

(a)How many different orderings are possible?

(b)A city tax-payer guesses at the order of the traffic improvements. What is the probability that this guess will turn out to be correct?