Conditional probability occurs when it is given that something has happened. (Hint: look for the word “given” in the question. The probability that a tennis player wins the first set of a match is ...

Author: Chris Boucher (March 2011). This app displays an intricate Venn diagram, containing various combinations of set intersections, unions and complements. Users can shade the area they choose by ...

Let $(X, \mathscr{A}, P)$ be a probability space and $\mathscr{B}$ a sub-$\sigma$-algebra of $\mathscr{A}$. Some results on regular conditional probabilities given $\mathscr{B}$ are proved. Using ...

It is shown that certain conditional distributions, obtained by conditioning on a sufficient statistic, can be used to transform a set of random variables into a smaller set of random variables that ...

Determining True HER2 Gene Status in Breast Cancers With Polysomy by Using Alternative Chromosome 17 Reference Genes: Implications for Anti-HER2 Targeted Therapy The disease outcome for patients with ...

I recently played in a $20,000 buy-in no-limit hold'em invitational tournament at Wynn Las Vegas. It was a short field of 23 players and would air live on FoxSportsNet. The structure was rather fast ...