This describes
incomplete dominance, where a particular trait of two parents appears in a blended form in the offspring (eg, red + white = pink).
Some (most?) traits are the expression of genes which exhibit
complete dominance, for example, eye color in humans. If your dad has blue eyes and your mom has brown eyes, you don't end up with eyes of some intermediate color between brown and blue do you? You either get your dad's eyes or your mom's eyes (or sometimes maybe your crazy aunt Mabel's green eyes--more about that in a minute).
If I remember correctly, brown is dominant over blue. That means that you will only have blue eyes if you get the blue eyed gene from
both your mom
and your dad. If you get the brown eyed gene from your mom and the blue eyed gene from your dad, you will end up with brown eyes (because brown is dominant over blue). If you get the brown eyed gene from both your mom and your dad, then obviously you're going to have brown eyes.
Now there might be some bright spark out there who's thinking "Well, my mom and dad both have brown eyes, but my eyes are blue. What about that, o wise one?" That's not a problem. Remember we have two complete sets of genes, one from each parent. Now dad might have got a brown eye gene from his dad and a blue eyed gene from his mom. Same with mom, she got a brown eye gene from her dad and a blue eyed gene from her mom. Mom and dad both have brown eyes because the brown eyed gene is dominant over the blue eyed gene, but they might each have passed along the blue eyed gene to you, giving you blue eyes. The genes that are expressed as traits in the parents are not necessarily the genes that are passed on to the next generation.
And yeah, most of the time when I said gene I probably meant allele, but I'm trying not to make this explanation any more confusing than it absolutely has to be.