New posts in probability

Why did no student correctly find a pair of $2\times 2$ matrices with the same determinant and trace that are not similar?

linear-algebra probability matrices random-matrices similar-matrices

I roll a die repeatedly until I get 6, and then count the number of 3s I got. What's my expected number of 3s?

probability expectation

$P(X>0,Y>0)$ for a bivariate normal distribution with correlation $\rho$

probability probability-distributions normal-distribution bivariate-distributions

Describing Bayesian Probability

probability

How exactly are the beta and gamma distributions related?

probability probability-distributions

Expectation of the maximum of i.i.d. geometric random variables

probability probability-distributions

The "pepperoni pizza problem"

probability optimization circles geometric-probability

Why do bell curves appear everywhere?

probability graphing-functions

Given a die, what is the probability that the second roll of a die will be less than the first roll?

probability dice

Should I put number combinations like 1111111 onto my lottery ticket?

probability gambling lotteries

Mathematician vs. Computer: A Game

probability puzzle game-theory

Is Bayes' Theorem really that interesting?

probability statistics bayes-theorem motivation

If you draw two cards, what is the probability that the second card is a queen?

probability

Choose a random number between $0$ and $1$ and record its value. Keep doing it until the sum of the numbers exceeds $1$. How many tries do we need?

probability probability-theory expectation

Expectation of the maximum of gaussian random variables

probability normal-distribution order-statistics

If I flip a coin 1000 times in a row and it lands on heads all 1000 times, what is the probability that it's an unfair coin?

probability statistics experimental-mathematics

Could someone explain conditional independence?

probability independence

What is the difference and relationship between the binomial and Bernoulli distributions?

probability statistics random-variables

Calculation of probability based on population distribution

probability statistics

$5$ dots on a $8$x$8$ board

probability combinatorics