Low. The best firms have a line a mile long begging to be hired. The firms generally like insecure people who need the work to feel good about themselves. Consultants are famously good at recruiting, presenting marvelous career paths and intellectual curiosities to be sated on the fields of business battle. Think about what it likely took to become a senior player at one of the major consulting firms. Enormous sacrifice of family and personal life. Who would do this? And it’s likely that they want to hire incremental versions of themselves because it rationalizes not knowing your kids very well. If you are willing to travel endlessly for very nice but not Wall-Street-amazing money, with a job that is forever intellectually stimulating, then study hard, get into a top tier school, and go for it. Consulting is a great gig if it fits your personality.