Dumb question: "We know that the ball will bounce back every time it is thrown at a wall. A single particle, however, will sometimes pass straight through an equivalent barrier in its microscopic world and appear on the other side. This quantum mechanical phenomenon is called tunnelling." Is the particle just failing to collide with the wall since objects are mostly empty space? Or is something more spooky or interes…
The idea that a particle could pass through a wall by luckily avoiding collisions is a classical way of thinking. In that view, a particle is a tiny solid ball and a wall is just a collection of other tiny balls with space between them.
Quantum tunneling is based on a completely different concept. In quantum mechanics, the "wall" is not a physical object but a high energy barrier. Classically, a particle cannot be in a region if it doesn't have enough energy to overcome that barrier (this is why people often use the idea of a high wall and a ball that cannot make it over the wall). However, quantum mechanics treats particles as having wave-like properties. This wave is related to the probability of finding the particle at any given location. While the probability of finding the particle inside the high-energy barrier is very low, it is not zero. The wave's amplitude shrinks inside the barrier, but a small portion of it extends to the other side. This means there is a small but finite probability that if you measure the particle's position, you will find it on the other side. When that happens, we say the particle has "tunneled" through.
The surprising success of the experiments that led to the Nobel Prize today is that it wasn’t just a single particle (like an electron) that they measured tunneling through a barrier, it was a macroscopic group of particles. These particles were able to tunnel through the barrier because they were kept in a coherent state that allowed them to have a wave function that coherently extended through the barrier. This meant that they had a reasonable finite amplitude on the other side of the barrier so that a measurement could show that they tunneled through the barrier.