¶ 16. {33} Reasonable suspicion engages probabilities. See New Jersey v. T.L.O., 469 U.S. 325, 346 (1985) (“[T]he requirement of reasonable suspicion is not a requirement of absolute certainty: sufficient probability, not certainty, is the touchstone of reasonableness under the Fourth Amendment.” (internal quotation marks and citation omitted)). This does not endorse using general statistical probabilities or group characteristics to establish reasonable suspicion for a stop. New Mexico courts have consistently concluded that “[g]uilt by association and generalized suspicions are insufficient” to create reasonable suspicion for a search or seizure. State v. Prince, 2004-NMCA-127, ¶ 17, 136 N.M. 521, 101 P.3d 332; see also State v. Gage R., 2010-NMCA-104, ¶ 19, 149 N.M. 14, 243 P.3d 453 (<HOLDING>). {34} For example, in Jones the Court of
holding that probable cause inquiry is whether considering totality of the circumstances there is a fair probability that contraband  will be found in a particular place holding that a search of a students purse that was not based on probable cause did not violate the fourth amendment recognizing that the fourth amendment demands more than a generalized probability and concluding that the search of a group of students gathering at the smokers corner without reason to suspect that any particular student is in possession of contraband is not constitutionally sound recognizing that for fourth amendment purposes an arrest warrant supported by probable cause carries with it limited authority to enter a dwelling in which a suspect lives when there is reason to believe that the suspect is within holding that search of middle school student violated her fourth amendment rights