time to step in .....
it's clear that two statements alone are not suffient to ans. so ans is between c n e .with .5 probability.
though we will move ahead n consider two statements in conjuction..
now we have one certain point(0,1) and two unknown point to work up with (1,p) n (p,13).if we draw line x=1,then we know for sure that point(1,p) is on this line. similarly (p,13) on y=13.n we will find that two lines intersect at (1,13). other point being (0,1) gives the slope +ve.
hope it 's clear !!
so ans is c.probabilty =1.