User Graham Kemp

125 votes

Accepted

What is the difference between independent and mutually exclusive events?

probability

answered Sep 22, 2014 at 5:46

64 votes

Bayes' rule with 3 variables

probability bayes-theorem

answered May 14, 2015 at 8:24

44 votes

When to give up on a hard math problem?

problem-solving advice

answered Jun 4, 2014 at 3:07

33 votes

Accepted

The "assumption" in proof by induction

proof-writing induction proof-explanation fake-proofs

answered Apr 15, 2018 at 12:18

33 votes

Accepted

Is there any difference between $P$ and $\Pr$ to represent probabilities?

probability notation

answered Jul 22, 2014 at 23:59

32 votes

Intuition for probability of drawing first ball = probability of drawing second ball

probability intuition

answered Aug 3, 2017 at 3:36

32 votes

In proofs, are "for each" and "for any" synonyms?

proof-writing terminology quantifiers

answered Mar 18, 2018 at 6:49

29 votes

In a proof by contradiction, what if both the proposition and its negation lead to contradictions?

logic

answered May 29, 2018 at 2:25

27 votes

Given 10 white, 9 green and 7 black. In how many ways you can select one or more balls?

combinatorics

answered Mar 19, 2016 at 13:20

26 votes

Accepted

Total number of unordered pairs of disjoint subsets of S

combinatorics elementary-set-theory

answered Apr 7, 2015 at 5:34

22 votes

Probability of drawing the Jack of Hearts?

probability discrete-mathematics card-games

answered May 22, 2018 at 1:48

21 votes

Accepted

Proof of linearity for expectation given random variables are dependent

probability probability-theory random-variables

answered Jun 2, 2016 at 23:58

20 votes

High school Math: confusion about the basic probability

probability probability-theory

answered Nov 16, 2015 at 6:41

19 votes

How many words (i.e. not "math" symbols") should I use in my proofs? ${}{}$

logic proof-writing

answered Mar 21, 2018 at 3:42

18 votes

Accepted

Prove that $E(X) = \int_{0}^{\infty} P(X>x)\,dx = \int_{0}^{\infty} (1-F_X(x))\,dx$.

calculus probability integration

answered Mar 9, 2016 at 23:30

18 votes

Much less than, what does that mean?

inequality soft-question notation

answered Nov 7, 2015 at 5:03

18 votes

Accepted

Is this always true: $P(A|B) = 1-P(A^c|B)$?

probability

answered Jun 8, 2014 at 11:00

17 votes

Accepted

Probability of Head in coin flip when coin is flipped two times

probability combinatorics probability-theory

answered Mar 28, 2014 at 9:56

17 votes

Accepted

What is the difference between singular matrices and degenerate matrices?

linear-algebra matrices

answered May 13, 2014 at 3:03

16 votes

What does "dual" mean exactly in mathematics?

terminology duality-theorems

answered Nov 8, 2015 at 6:50

16 votes

Expected value of a non-negative random variable

probability

answered Oct 4, 2014 at 22:04

15 votes

A coin is flipped ten times. What is the probability that the first three are heads if an equal number of heads and tails are flipped?

probability

answered May 4, 2015 at 0:57

15 votes

Complement Set of Cartesian product

elementary-set-theory

answered Sep 12, 2017 at 4:24

15 votes

Accepted

Simple Trig Equations - Why is it Wrong to Cancel Trig Terms?

algebra-precalculus trigonometry quadratics

answered Sep 1, 2015 at 4:40

15 votes

Unambiguous summation notation

summation notation

answered May 31, 2017 at 0:41

15 votes

Accepted

Find joint distribution of minimum and maximum of iid random variables

probability probability-distributions uniform-distribution

answered Feb 2, 2018 at 1:01

14 votes

Accepted

Conditional expectation of random variable given a sum

probability-theory conditional-expectation

answered Nov 7, 2017 at 2:39

14 votes

Accepted

Probability Density Function of Scaled Gamma Random Variable

probability probability-theory probability-distributions

answered Nov 7, 2014 at 2:05

14 votes

Accepted

Why, logically, is proof by contradiction valid?

logic proof-writing definition boolean-algebra

answered Mar 23, 2018 at 0:31

14 votes

$4$ dogs have been born in the same week. What is the probability that they were born on different days?

probability combinatorics

answered Oct 19, 2016 at 0:12

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6,890 Answers

What is the difference between independent and mutually exclusive events?

Bayes' rule with 3 variables

When to give up on a hard math problem?

The "assumption" in proof by induction

Is there any difference between $P$ and $\Pr$ to represent probabilities?

Intuition for probability of drawing first ball = probability of drawing second ball

In proofs, are "for each" and "for any" synonyms?

In a proof by contradiction, what if both the proposition and its negation lead to contradictions?

Given 10 white, 9 green and 7 black. In how many ways you can select one or more balls?

Total number of unordered pairs of disjoint subsets of S

Probability of drawing the Jack of Hearts?

Proof of linearity for expectation given random variables are dependent

High school Math: confusion about the basic probability

How many words (i.e. not "math" symbols") should I use in my proofs? ${}{}$

Prove that $E(X) = \int_{0}^{\infty} P(X>x)\,dx = \int_{0}^{\infty} (1-F_X(x))\,dx$.

Much less than, what does that mean?

Is this always true: $P(A|B) = 1-P(A^c|B)$?

Probability of Head in coin flip when coin is flipped two times

What is the difference between singular matrices and degenerate matrices?

What does "dual" mean exactly in mathematics?

Expected value of a non-negative random variable

A coin is flipped ten times. What is the probability that the first three are heads if an equal number of heads and tails are flipped?

Complement Set of Cartesian product

Simple Trig Equations - Why is it Wrong to Cancel Trig Terms?

Unambiguous summation notation

Find joint distribution of minimum and maximum of iid random variables

Conditional expectation of random variable given a sum

Probability Density Function of Scaled Gamma Random Variable

Why, logically, is proof by contradiction valid?

$4$ dogs have been born in the same week. What is the probability that they were born on different days?