In sequence similarity search applications such as read mapping, it is desired that seeds match between a read and reference in regions with mutations or read errors (sensitivity) but do not produce redundant matches due to repeats (specificity). K-mers are likely the most well-known and used seed construct in bioinformatics, and many studies on, e.g., spaced k-mers aim to improve sensitivity and specificity over k-mers. Recently, we developed a fuzzy seeding construct, strobemers, which were empirically demonstrated to have high sensitivity and specificity, but the study lacked a deeper understanding of why. In this study, we demonstrate that the entropy of a seed cover (a stretch of neighboring seeds) is a good predictor for seed sensitivity. We propose a model to estimate the entropy of a seed cover, and find that seed covers with high entropy typically have high match sensitivity. We also present two new strobemer seed constructs, mixedstrobes, and altstrobes. We use both simulated and biological data to demonstrate that mixedstrobes and altstrobes improves sequence matching sensitivity to other strobemers. We implement strobemers into minimap2 and observe slightly faster alignment time and higher accuracy than using k-mers at various error rates. We believe the most important aspect of this work is our discovered seed stochasticity-sensitivity relationship. The relationship provides a clear explanation of why some fuzzy seeds perform better than others and a framework for designing even more sensitive seeds. In addition, we show that the two new seed constructs, mixedstrobes, and altstrobes, are practically useful. Finally, in cases where our entropy model does not predict the observed sensitivity well, we explain why and how to improve the model in future work.