Will a student pass the 12th board (CBSE) without taking tuition?

Scoring 33% is not at all a problem,but will you be able to find a good college for yourself?
12th board is much more than passing.you have to get good marks so that you can sit for various compeititve exams and to get enrolled directly in college on the basis of merit.If you are able to understand all the concepts in school , you can strategize on how to complete your syllabus and self analyze yourself on a regular basis,then there is no need of tution.
but if you are finding difficulty in any of the above points then go for a tution as tution makes this journey a lot more easier by giving you the right guidance.

Of Course, without going Tuition few of them were becoming a topper. Students who are unable to understand the topics up to the level in their exams marks obviously teachers blaming the students. So, personally, students need individual attention, and they also have a mentor to guide them. Within three months he/she will be improved. 4S Academy/4S Tuition centre following this traditional method.

You did not mention science or commerce, it is always possible to pass and do well without taking any tuitions . You have to be highly desciplined and hard working. Many many online resources are available which you can utilise together with the input from your school.

In my opinion a student can pass 12th board exam without taking tuition if he or she has enough confidence and go through the book deeply. In this era due to advancement of technology , a student can get n no of resources on internet and can utilise those sources to understand the basic concept. Reading , understanding and  writing down the important points in the notebook and revise those highlighted points multiple times would be the best possible solution to prepare oneself for any exam.