Provably fair does not mean that you cannot lose...

just a quick explanation.

in your case with every bet you can win with 47.5% probability and lose with 52.5%, ok?
now, let's see the second bet. in the second bet you have the same %, 47.5% and 52.5%. the third, 47.5% and 52.5% and guess the fourth.. yes 47.5% and 52.5%.

so if you have a series of losses it does not mean that you have a greater chance of winning.