Leveraging Tracking Data to Contextualize the Difficulty of a Throw Not all passes are created equal. A quarterback receives the same credit for a completion whether the pass traveled 60 yards ...

To watch baseball or any other sport is to confront the fundamental unpredictability of the universe, its utter refusal to bend to your wishes, no matter how fervent. In recent years, some ...

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

Forbes contributors publish independent expert analyses and insights. Writes about the future of finance and technology, follow for more. Joint probability teaches us to calculate combined outcomes.

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...