248 Pre-Health students put in their applications for their programs of choice. 123 students applied to the nursing program, 45 applied to the dental program, 22 applied to the fitness program. It has been reported that 28 students applied to the nursing program and to the dental program. It has also been reported that 8 students applied to the fitness program and to the dental program. Use Venn Diagrams to solve the following problems. a). What is the probability of picking at random a student who applied to the nursing program given that they also applied to the dental program? Convert to percent, then round to 2 significant figures. DO NOT INPUT THE '%' SYMBOL. b). What is the probability of picking at random a student who applied to the fitness program given that they also applied to the dental program? Convert to percent, then round to 2 significant figures. DO NOT INPUT THE '%' SYMBOL.