Fan Graphs has real-time Win Probability graphs for every game, which track each team’s chances of winning based on the historical odds of the specific game situation at the time. Last night’s Win ...

With 6:38 remaining in Sunday's game against the New York Giants, the Denver Broncos had a 0.7% chance to overcome a 26-8 deficit. And that's exactly what they did. Broncos second-year quarterback Bo ...

For any event that has multiple outcomes with different probabilities, it can be helpful and illustrative to construct a chart or diagram of the possible outcomes. Tree diagrams are a useful example ...

It’s always interesting to check out win probability graphs, no matter the sport. Looking back on the swings in momentum, plays that had a significant affect on the outcome of the game and just how in ...

How big was the Patriots’ 25-point comeback against the Falcons? It was by far the biggest ever in a Super Bowl; before Sunday, no team had overcome anything bigger than a 10-point lead. This isn’t ...

Evolutionary dynamics act on populations. Neither genes, nor cells, nor individuals evolve; only populations evolve. In small populations, random drift dominates, whereas large populations are ...

Random graph models provide a mathematical framework for capturing the structure and dynamics of complex networks by assigning probabilistic rules to vertex connections. Classical models such as the ...