MBBS

Please check for eligibility criteria to pursue a course in MBBS as mentioned below:
ELIGIBILITY CRITERIA
Minimum age: 17 years
Candidate must have passed 10+2 Science stream with Physics, Chemistry and Biology subjects, from a recognised board. Minimum aggregate marks required in PCB subjects- 50%. Minimum marks scored in Biology subject- 50%. Note: Minimum marks criteria may vary (usually around 50% marks).
Candidate must also have taken part in medical entrance examination organized by State or Central Government. Some of the well known entrance tests are- State wise CETs (Medical), AIIMS Entrance, AIPMT PGIMER JIPMER and AFMC. Note: There exists even more medical entrance tests. Some Private Universities have their own entrance tests (example- Manipal University). Regards.

MBBS has much broader scope as MBBS graduates are certified doctors, and if you have extensive knowledge of your subject, it is easy to find employment, whereas B.Sc. Graduates often have to study PG courses to land a high paying job. So, in my opinion MBBS has much broader scope. Regardless, I have listed down career scope for both avenues which should help you judge which is better.
Career scope after B.Sc. In Statistics:
Students with a degree in B.Sc. Statistics are eligible to apply for various jobs in Banking, IT, Quality control etc. They can even take up Actuarial Science as a specialisation and join in various financial and share trading companies. Candidates with good flair and knowledge in Statistics are in huge demand in the present scenario.
Some of the leading Colleges that offer B.Sc. Statistics Degrees also offer placement services and can submit an application for jobs after their graduation. A student with Masters or Ph.D. in Statistics can apply for jobs such as a business analyst, statistics lecturer, professor etc. They can also go for jobs like software engineer, investigative officer, statistics analyst, researcher etc.
Career scope after MBBS:
After completing the MBBS degree successfully, there are two options for the students: either start their own venture or go for a job in the medical field. Students can also go for the government jobs as a doctor or join a private health firm. There are good future scopes in the field of medical.
You may be hired by the medical college, hospitals, nursing home, health corporations, health ministry, medical health society, back office medical consultancy and pharmaceutical industries. You can also work as physician, prescribes medicines & treatment for disease, research while surgeons perform operations.
Many Medical Graduates are much in demand to study & research the different areas in Bio-Engineering.
Career in MBBS & higher studies is very rewarding for the students, those interested in Science and dealing with treating sick peoples.
Regards.

Career prospects after MBBS:
After completing the MBBS degree successfully, there are two options for the students: either start their own venture or go for a job in the medical field. Students can also go for the government jobs as a doctor or join a private health firm. There are good future scopes in the field of medical.
You may be hired by the medical college, hospitals, nursing home, health corporations, health ministry, medical health society, back office medical consultancy and pharmaceutical industries. You can also work as physician, prescribes medicines & treatment for disease, research while surgeons perform operations.
Many Medical Graduates are much in demand to study & research the different areas in Bio-Engineering.
The Job Profiles of the BDS may be the following:
Dentist
Dental Surgeon
Endodontic
Oral and Maxillofacial Pathologist
Oral Surgery
Orthodontics
Pedodontics
Periodontics
Prosthodontics
Some employment areas for BDS aspirants are:
Dental Clinics
Hospitals
Educational Institutions
Pharmaceutical Companies
Dental Products Manufactures
Private Practice.

There is no Lateral Entry option in India but some of foreign universities offer lateral entry programme to direct 2nd year.
Lateral Entry option to MBBS for B.Sc-Nursing, BPT BHMS and B.A.M.S. Graduates.
Please cross check the MCI guidelines for the same at http://www.mciindia.org/
However, there are some universities in Eastern Europe and Philippines who do offer admission on lateral entry scheme after carefully examining the subjects and testimonials of aspirant's UG Degrees (B.Sc-Nursing, BPT BHMS and B.A.M.S. Into their universities.
The decision making ownership is on the aspirants whether they choose to study MBBS in those foreign university.