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...
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