Question

Expected value with balls and bins

score 720 · Answer 1 · 2021-11-11 23:41:20

720

Views

Expected value with balls and bins

Published on 11 Nov 2021 - 23:41

score 47 · Answer 2 · 2021-11-15 18:12:55

47

Views

Assigning balls to urns such that no urn contains more than one red ball

Published on 15 Nov 2021 - 18:12

score 555 · Answer 3 · 2026-02-24 17:38:31

555

Views

I've clicked XKCD's "random" button k times and I've already seen all of them. What's the expected number of XKCD's I've seen?

Published on 24 Feb 2026 - 17:38

score 76 · Answer 4 · 2021-12-30 21:39:10

76

Views

Colored ball problem with $2$ colors, but each ball is always replaced with $1$ color

Published on 30 Dec 2021 - 21:39

score 762 · Answer 5 · 2022-01-11 09:16:35

762

Views

Distributing $r$ balls into $n$ cells. What is the probability that exactly $m$ cells contain exactly $k$ balls?

Published on 11 Jan 2022 - 9:16

score 559 · Answer 6 · 2022-01-12 22:00:28

559

Views

Ways to divide $14$ numbered balls into $3$ non-empty groups

Published on 12 Jan 2022 - 22:00

score 86 · Answer 7 · 2022-01-22 00:13:48

86

Views

How many ways we can load $100$ indistinguishable boxes into $3$ cars A,B,C,if every car can be loaded with $20$ to $40$ boxes?

Published on 22 Jan 2022 - 0:13

score 198 · Answer 8 · 2022-01-28 16:46:20

198

Views

Drawing balls from 3 urns, no replacement

Published on 28 Jan 2022 - 16:46

score 198 · Answer 9 · 2022-02-08 04:24:45

198

Views

To find the number of ways to put $14$ identical balls into $4$ bins with the condition that no bin can hold more than $7$ balls.

Published on 08 Feb 2022 - 4:24

score 1.6k · Answer 10 · 2022-02-15 12:52:57

1.6k

Views

In how many ways we can place 9 different balls in 3 different boxes such that in every box at least 2 balls are placed?

Published on 15 Feb 2022 - 12:52

score 67 · Answer 11 · 2022-02-15 19:58:29

67

Views

combinatorics - distinct objects into identical cells - when order matter

Published on 15 Feb 2022 - 19:58

score 42 · Answer 12 · 2022-02-17 05:23:28

42

Views

A question about balls-in-bins problem.

Published on 17 Feb 2022 - 5:23

score 28 · Answer 13 · 2022-02-23 21:59:13

28

Views

Different ways to put n distinguishable balls in k distinguishable boxes, when every box has to have an even amount of balls?

Published on 23 Feb 2022 - 21:59

score 206 · Answer 14 · 2022-03-01 01:08:36

206

Views

Pairwise independent balls in bins: probability of an empty bin

Published on 01 Mar 2022 - 1:08

score 434 · Answer 15 · 2022-03-04 12:53:03

434

Views

In how many ways can 30 identical balls be distributed into 6 distinct boxes (numbered box 1, ... , box 6) where each box gets an odd number of balls?

Published on 04 Mar 2022 - 12:53

List Question

Expected value with balls and bins

Assigning balls to urns such that no urn contains more than one red ball

I've clicked XKCD's "random" button k times and I've already seen all of them. What's the expected number of XKCD's I've seen?

Colored ball problem with $2$ colors, but each ball is always replaced with $1$ color

Distributing $r$ balls into $n$ cells. What is the probability that exactly $m$ cells contain exactly $k$ balls?

Ways to divide $14$ numbered balls into $3$ non-empty groups

How many ways we can load $100$ indistinguishable boxes into $3$ cars A,B,C,if every car can be loaded with $20$ to $40$ boxes?

Drawing balls from 3 urns, no replacement

To find the number of ways to put $14$ identical balls into $4$ bins with the condition that no bin can hold more than $7$ balls.

In how many ways we can place 9 different balls in 3 different boxes such that in every box at least 2 balls are placed?

combinatorics - distinct objects into identical cells - when order matter

A question about balls-in-bins problem.

Different ways to put n distinguishable balls in k distinguishable boxes, when every box has to have an even amount of balls?

Pairwise independent balls in bins: probability of an empty bin

In how many ways can 30 identical balls be distributed into 6 distinct boxes (numbered box 1, ... , box 6) where each box gets an odd number of balls?

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