Not all cardinals have a crest. In fact, some male cardinals don't have a crest at all. So why is this? Well, it turns out that the lack of a crest is actually a genetic mutation. This mutation is found in about 1% of the cardinal population and appears to be more common in North America than anywhere else in the world. While the exact reason for this mutation is unknown, it's likely that it's simply a random occurrence.
Why do some male cardinals not have a crest?
The Northern Cardinal is a bird easily identified by its vibrant red color. Male cardinals are especially notable for their red plumage and crest, which they use to attract mates. However, not all male cardinals have a crest. In fact, about 20% of males are born without one. So why do some male cardinals not have a crest? to know more detail here cardinals bird

There are a few possible explanations for why some male cardinals are crestless. One theory is that it is simply a genetic mutation that occurs in about 1 out of every 5 males.
The function of a cardinal's crest
The Northern Cardinal is a distinctive bird with its bright red plumage. But you may have noticed that not all cardinals have the same crest. So why is that?
Well, it turns out that the crest on a cardinal's head is actually made up of feathers, and those feathers can take some time to grow in. So, when young male cardinals are first growing their adult plumage, they may not have a crest yet.
Different types of crests among cardinals
The Northern Cardinal is well-known for the bright red plumage of the males. What is less known, however, is that there are actually three different types of crests among cardinals. The most common type of crest is the sharp pointy crest, which is found on about two-thirds of all male cardinals. The second type is the rounded crest, which is found on about one-third of all male cardinals. The last and least common type of crest is the tufted crest, which is found on only a handful of male cardinals.
So why do some male cardinals not have a crest? Well, it turns out that the presence or absence of a crest is determined by a single gene.
Why do some male cardinals lack a crest?
There are two possible explanations for why some male cardinals lack a crest. The first is that the gene for a crest is incompletely dominant, which means that the presence of even one copy of the gene (from either parent) is enough to produce a crest. However, if a cardinal has no copies of the gene, or if it has two copies of a recessive form of the gene, then it will not have a crest.

The second explanation is that some cardinals may simply be missing the feathers that make up a crest. This could be due to injury, disease, or malnutrition.
Conclusion
The red-crested cardinal is a South American bird that is closely related to the North American northern cardinal. Both male and female northern cardinals have a crest, but only the males have a red crest. The red-crested cardinal does not have a crest at all. So why do some male cardinals not have a crest?
There are two possible explanations for why some male cardinals do not have a crest. One possibility is that the gene for having a crest is recessive, and thus, if both parents do not have the gene, then their offspring will not have a crest either. Another possibility is that the presence of a crest is linked to other genes that affect the bird's appearance, such as plumage color. If these genes are not present, then the bird will not have a crest.