How can evaporation occur?

Since heat is transferred from a region of high temperature to low temperature if a few molecules have more energy, it would be transferred to the surrounding molecules. So if a molecule has 10J of heat it can only transfer some energy such that they have the same temperatures as each other.

So how can heat be transferred to the surface if the heat should be dissipated such that the temperatures are equal, how can the temperature of the surface be hotter than the rest of the molecules?

Thanks for the help :)