How can electromagnetic radiation be both quantized and a wave?

I'm not sure WHY it is, and to be honest, I probably couldn't even comprehend why it is, but I always think of this example: Let's say you're hungry. You think to yourself, "I'm hungry," and you try to tell other people.

A blind person is the first person you speak to, and you tell him out loud, "I'm hungry." The blind person thinks that talking is the only way to communicate thought (in case 1, a wave, in the case of light).

Then, you write the same thing on a piece of paper, and a deaf person writes it down as well. The deaf person believes that thinking can only be expressed through writing (case 2, a quantized entity, in the case of light). Who is correct? Both of them? It depends on the particular situation in which you need to express your ideas. Sometimes you write, sometimes you talk.

Regarding our example, I believe that we are similar to people who occasionally hear and occasionally read messages without understanding that the same message can be conveyed through both methods!

Similar to this, when we measure a wave (interference) or a quantized entity (particle) when we observe light (photoelectric effect).

I hope this makes sense, but I'm sure there are smarter people than me who can solve this problem with better solutions!

Because of its dual nature, electromagnetic radiation can be both quantized and a wave. This dual nature is explained by theories like wave-particle duality and quantum field theory. In certain scenarios, electromagnetic radiation behaves like a wave, exhibiting properties like diffraction and interference. In other scenarios, however, it behaves like discrete packets of energy called photons, which are quantized.