hi eabioh
no 1. Yes :-) however you need to look into which branch of medical science. For example, biostatistics. Biologists (well, some!) do have some trouble with mathematics. Mathematicians, on the other hand, may have the knowledge for analysis, but do not know enough biology principles to interpret the results!!! So its always nice to have a balance here!
no 2: I can't answer this one specifically, but there WILL BE institutions looking for people with a mathematical background. If you're willing to "struggle" a bit (especially in the first few months/years) learning up the biology side, there will be many many opportunities to enter the medical arena.
just keep looking, keep your options open
hope this helps
good luck!
love satchi
If you want to see whether medical statistics/epidemiology appeals to you, you could always try this free online course:
https://www.edx.org/courses/HarvardX/PH207x/2012_Fall/about
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