People love surprises: For example, a surprise party for friends, an unexpected gift for the kids or a spontaneous trip. All of these enrich life and, according to some research, a positive surprise ...

Flip a coin. Heads? Take a step to the left. Tails? Take a step to the right. In the quantum world? Go in both directions at once, like a wave spreading out. Called the walker analogy, this random ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Julia Kagan is a financial/consumer journalist and former senior editor, personal finance, of Investopedia. David Kindness is a Certified Public Accountant (CPA) and an expert in the fields of ...

The New England Patriots have recently been very lucky. NPR's Kelly McEvers and Robert Siegel explain the probability of the football team winning the last 19 out of 25 coin tosses. It's not like we ...

The outcomes of rolling a six-sided die are: 1, 2, 3, 4, 5, 6. A probability of zero means an outcome is impossible. A probability of 1 means an outcome is certain ...