354 What is the difference between "likelihood" and "probability"? 2010-09-14T03:24:01.207

182 Why does a 95% Confidence Interval (CI) not imply a 95% chance of containing the mean? 2012-04-14T10:19:48.357

129 Amazon interview questionâ€”probability of 2nd interview 2014-02-10T01:45:18.763

116 Can a probability distribution value exceeding 1 be OK? 2010-11-05T01:25:39.520

113 At each step of a limiting infinite process, put 10 balls in an urn and remove one at random. How many balls are left? 2017-11-24T18:23:56.457

110 If 900 out of 1000 people say a car is blue, what is the probability that it is blue? 2017-08-20T19:57:02.367

101 Numerical example to understand Expectation-Maximization 2013-10-14T22:37:36.997

92 What's the difference between probability and statistics? 2010-07-26T20:17:17.680

82 If I have a 58% chance of winning a point, what's the chance of me winning a ping pong game to 21, win by 2? 2018-02-19T21:08:06.637

77 Probability of a single real-life future event: What does it mean when they say that "Hillary has a 75% chance of winning"? 2016-07-24T13:59:11.473

73 Why do we need $\sigma$-algebras to define probability spaces? 2016-03-01T09:44:19.590

65 Is this chart showing the likelihood of a terrorist attack statistically useful? 2017-02-01T17:09:21.743

62 How much to pay? A practical problem 2016-01-21T15:06:42.780

61 Is there any *mathematical* basis for the Bayesian vs frequentist debate? 2016-08-18T03:40:05.863

56 What does a "closed-form solution" mean? 2013-09-23T23:31:26.477

53 Does 10 heads in a row increase the chance of the next toss being a tail? 2015-02-09T08:15:14.597

48 What is the most surprising characterization of the Gaussian (normal) distribution? 2010-11-09T20:19:21.667

47 Convergence in probability vs. almost sure convergence 2010-08-31T03:57:21.193

45 How to generate correlated random numbers (given means, variances and degree of correlation)? 2012-10-07T19:45:21.457

45 How to tell the probability of failure if there were no failures? 2015-01-21T18:39:47.950

43 What is so cool about de Finetti's representation theorem? 2012-08-16T17:40:14.243

43 Expected number of ratio of girls vs boys birth 2014-04-15T10:12:43.793

43 Does the reciprocal of a probability represent anything? 2016-10-28T18:35:25.253

41 Motivation for Kolmogorov distance between distributions 2010-07-21T13:39:06.783

39 Are there any good movies involving mathematics or probability? 2011-05-07T11:13:51.243

38 Why to optimize max log probability instead of probability 2015-09-28T08:37:33.457

37 Are CDFs more fundamental than PDFs? 2016-05-25T05:05:12.880

36 How often do you have to roll a 6-sided die to obtain every number at least once? 2013-01-24T02:04:12.570

35 Would a Bayesian admit that there is one fixed parameter value? 2014-01-29T12:20:04.717

35 Help me calculate how many people will come to my wedding! Can I attribute a percentage to each person and add them? 2014-04-13T04:55:30.897

35 Will the fact that my Italian son is going to attend a primary school change the expected number of Italian children to be present in his class? 2015-09-23T14:29:26.280

34 The Monty Hall Problem - where does our intuition fail us? 2010-07-21T04:30:50.663

34 Probability distribution for different probabilities 2011-04-13T13:34:06.930

34 Why law of large numbers does not apply in the case of Apple share price? 2012-03-13T07:12:16.620

33 What is Bayes' theorem all about? 2010-07-26T20:30:36.507

33 Birthday paradox with a (huge) twist: Probability of sharing exact same date of birth with partner? 2014-03-11T17:26:07.217

32 What is the purpose of characteristic functions? 2011-04-16T18:00:25.273

32 What is the probability that this person is female? 2012-06-21T02:10:15.410

31 Random walk on the edges of a cube 2015-02-26T08:35:36.190

31 Probability of being born on a leap day? 2016-02-29T07:30:06.297

29 Why does "explaining away" make intuitive sense? 2013-04-01T07:05:28.527

29 PP-plots vs. QQ-plots 2014-04-01T14:23:28.893

28 Differences between a statistical model and a probability model? 2012-06-23T18:40:01.683

28 What is the name of the statistical fallacy whereby outcomes of previous coin flips influence beliefs about subsequent coin flips? 2014-06-08T16:17:00.863

28 If I generate a random symmetric matrix, what's the chance it is positive definite? 2018-01-08T18:54:36.973

28 What is the intuition behind the formula for conditional probability? 2018-02-01T13:44:30.760

27 Meaning of p-values in regression 2011-08-29T00:04:13.140

27 Does a sample version of the one-sided Chebyshev inequality exist? 2014-01-16T01:38:04.730

27 How many stickers do I need to complete my FIFA Panini album? 2014-06-05T09:07:11.243

27 Statistics concept to explain why you're less likely to flip the same number of heads as tails, as the number of flips increases? 2015-11-19T00:26:11.233

27 Teaching first Bayesian or frequentist statistics 2017-01-25T09:59:14.440

26 Probability of not drawing a word from a bag of letters in Scrabble 2010-10-20T00:28:37.190

26 How likely am I to be descended from a particular person born in the year 1300? 2011-10-22T02:15:55.313

26 The abundance of P values in absence of a hypothesis 2015-03-19T21:57:48.997

25 Does the distribution $\log(1 + x^{-2}) / 2\pi$ have a name? 2011-02-09T19:34:28.307

25 What are the classical notations in statistics, linear algebra and machine learning? And what are the connections between these notations? 2016-06-04T15:34:11.213

24 Extending the birthday paradox to more than 2 people 2010-08-05T14:00:07.723

24 What's the difference between a probability and a proportion? 2010-08-11T07:24:02.763

24 Bayesian vs frequentist Interpretations of Probability 2012-07-05T14:41:27.480

24 Confidence Interval for variance given one observation 2012-12-02T00:09:22.587

24 Do Bayesians accept Kolmogorov's axioms? 2014-11-30T20:08:45.073

23 How do betting houses determine betting odds for sports? 2012-06-05T13:51:20.050

23 What does "independent observations" mean? 2014-09-22T18:45:45.930

23 Is there a result that provides the bootstrap is valid if and only if the statistic is smooth? 2016-04-05T02:50:11.197

22 Time taken to hit a pattern of heads and tails in a series of coin-tosses 2011-06-21T17:22:14.597

22 Generic sum of Gamma random variables 2013-10-10T19:49:21.903

22 Inverting the Fourier Transform for a Fisher distribution 2013-12-19T23:31:20.407

22 Difference of two i.i.d. lognormal random variables 2015-05-18T14:43:34.847

22 Two dice rolls - same number in sequence 2017-04-17T12:18:49.277

21 Introduction to measure theory 2011-01-11T21:01:20.807

21 How can we bound the probability that a random variable is maximal? 2012-06-11T14:10:14.210

21 K successes in Bernoulli trials, or George Lucas movie experiment 2012-09-04T21:39:17.783

21 What's the probability that from 25 random numbers between 1 and 100, the highest appears more than once? 2014-03-14T11:53:21.867

21 Does this discrete distribution have a name? 2015-05-17T21:33:30.110

20 Do negative probabilities/probability amplitudes have applications outside quantum mechanics? 2010-11-05T06:35:47.567

20 Marginal distribution of the diagonal of an inverse Wishart distributed matrix 2011-04-26T20:30:43.627

20 Why are random variables defined as functions? 2011-05-13T22:24:15.883

20 Elementary statistics for jurors 2012-08-11T01:08:12.880

20 How to sample from a discrete distribution? 2013-08-20T20:40:40.217

20 How do we know that the probability of rolling 1 and 2 is 1/18? 2016-07-25T16:44:46.020

20 Roll a die until it lands on any number other than 4. What is the probability the result is > 4? 2016-08-28T00:57:32.697

19 Amoeba Interview Question 2010-11-21T05:20:48.913

19 What is a tight lower bound on the coupon collector time? 2011-03-02T03:58:17.613

19 Meaning of probability notations $P(z;d,w)$ and $P(z|d,w)$ 2011-05-02T10:16:09.873

19 Can two random variables have the same distribution, yet be almost surely different? 2012-03-20T15:04:43.350

19 Comparing and contrasting, p-values, significance levels and type I error 2012-08-01T02:33:55.363

19 Jaynes' $A_p$ distribution 2015-11-13T10:13:34.073

19 To maximize the chance of correctly guessing the result of a coin flip, should I always choose the most probable outcome? 2016-05-17T12:59:34.603

19 Is everyday probability just a way of dealing with the unknown (not talking quantum physics here)? 2017-06-23T01:28:38.117

19 Expected value of waiting time for the first of the two buses running every 10 and 15 minutes 2017-09-26T23:41:56.930

18 Probability of drawing a given word from a bag of letters in Scrabble 2013-11-03T17:15:02.737

18 Why maximum likelihood and not expected likelihood? 2014-04-01T06:39:20.780

17 Logistic Regression and Dataset Structure 2011-01-28T00:24:32.027

17 How to predict when the next event occurs, based on times of previous events? 2011-09-30T20:26:34.607

17 Why is statistics useful when many things that matter are one shot things? 2012-09-07T20:47:11.957

17 How to apply Bayes' theorem to the search for a fisherman lost at sea 2014-10-14T02:47:03.650

17 Uniform random variable as sum of two random variables 2014-11-24T23:39:21.747

17 "The total area underneath a probability density function is 1" - relative to what? 2015-01-14T12:47:34.280

17 Drawing n intervals uniformly randomly, probability that at least one interval overlaps with all others 2015-04-20T01:49:07.060