Alice believes that the 49ers will win the Super Bowl with probability 5/8. Bob believes that Ravens will win the...

Continue reading...# probabilities

## Medical Tests and Bayes’ Theorem

Suppose that you are worried that you might have a rare disease. You decide to get tested, and suppose that...

Continue reading...## Poker Probability Paradox

In poker, there is a hierarchy of desirable hands which relate to how unlikely the hand is. For instance, a...

Continue reading...## Monty Hall Problem

Here’s a problem that makes the round every few years, and each time, it is hotly debated. You are on...

Continue reading...## Deal or No Deal

On the TV show “Deal or No Deal”, a contestant is faced with a number of briefcases (26 in the...

Continue reading...## Matching Problem

Suppose I return N homeworks randomly to my N students. What is the chance that no student gets back her...

Continue reading...