Do you remember learning about punnet squares in school? The simple version we usually see is kinda
overly simplified, since it ignores traits that are determined by multiple genes, but it's still useful to estimate the odds of a trait showing up.
Suppose you want gene 'A' in your population, because fruits with the 'A' gene taste good. It's a dominant gene, so one copy from either parent is enough to give good flavor.
You find one tasty fruit in the whole population. You don't know this, but it inherited 'A' from one parent. The other parent tasted terrible.
If you save seed from your tasty fruit, next season those seeds have a 50% chance of producing tasty fruit. If you
only save seeds from tasty fruits, (and only allow pollination from tasty fruited fathers) the odds are better in the next generation.
75% odds of tasty fruit. Keep culling the plants that have poor tasting fruit. Don't let 'em make seeds, don't let 'em contribute pollen. The occasional 'AA' (25%) will improve your odds even more.
The goal is to reach the point of none of the parents being 'BB'. 100% tasty fruit! Since we can't actually
see the genes, it's hard to know when we've made it. Sometimes some other trait is linked to the combination we want, so observation can really pay off. (Think wrinkled sweet corn seeds.)
Vigilantly only allowing tasty specimens to reproduce, guarantees that you'll get there. Possibly in three to four generations.