After receiving and considering the evidence on the proper disposition of the case, the court may enter judgment as follows:
(a) If the court has found that the minor is a person described by Section 601 or 602, by reason of the commission of an offense other than any of the offenses set forth in Section 654.3, it may, without adjudging the minor a ward of the court, place the minor on probation, under the supervision of the probation officer, for a period not to exceed six months. The minor’s probation shall include the conditions required in Section 729.2 except in any case in which the court makes a finding and states on the record its reasons that any of those conditions would be inappropriate. If the offense involved the unlawful possession, use, or furnishing of a controlled substance, as defined in Chapter 2 (commencing with Section 11053) of Division 10 of the Health and Safety Code, a violation of subdivision (f) of Section 647 of the Penal Code, or a violation of Section 25662 of the Business and Professions Code, the minor’s probation shall include the conditions required by Section 729.10. If the minor fails to comply with the conditions of probation imposed, the court may order and adjudge the minor to be a ward of the court.
(b) If the court has found that the minor is a person described by Section 601 or 602, it may order and adjudge the minor to be a ward of the court.