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* What is the probability that a seven-game series goes to 7 games?
* Facebook has a content team that labels pieces of content on the platform as spam or not spam. 90% of them are diligent raters and will label 20% of the content as spam and 80% as non-spam. The remaining 10% are non-diligent raters and will label 0% of the content as spam and 100% as non-spam. Assume the pieces of content are labelled independently from one another, for every rater. Given that a rater has labelled 4 pieces of content as good, what is the probability that they are a diligent rater?
* Say you draw a circle and choose two chords at random. What is the probability that those chords will intersect?
* 1/1000 people have a particular disease, and there is a test that is 98% correct if you have the disease. If you don't have the disease, there is a 1% error rate. If someone tests positive, what are the odds they have the disease?
* 1/1000 people have a particular disease, and there is a test that will say you have the disease 98% of the time if you do have. If you don't have the disease, there is a 1% false positive rate. If someone tests positive, what are the odds they have the disease?
* There are 50 cards of 5 different colors. Each color has cards numbered between 1 to 10. You pick 2 cards at random. What is the probability that they are not of same color and also not of same number?
* A fair six-sided die is rolled twice. What is the probability of getting 1 on the first roll and not getting 6 on the second roll?
* What is the expected number of rolls needed to see all 6 sides of a fair die?