I think you can use binomial distribution by taking the event ' voting to candidate B' as success (and to A or C as failure). So, that X~Bin(100,47/100) and then find P(X>50). Since the approximate prob. has been asked, you can use Normal approximation to binomial dist. using continuity correction.
I'm not much sure, but I think so. First try this way. Let me know if you don't get answer this way.
Last edited: Feb 26, 2017