Question

Prove events are independent if and only if $p=\frac{1}{2}$

score 143 · Answer 1 · 2018-01-31 13:47:13

143

Views

Prove events are independent if and only if $p=\frac{1}{2}$

Published on 31 Jan 2018 - 13:47

score 980 · Answer 2 · 2018-01-31 15:22:26

980

Views

Prove that all entries of the nth row of Pascal's Triangle are odd given that $n=2^k-1$

Published on 31 Jan 2018 - 15:22

score 116 · Answer 3 · 2018-01-31 16:12:58

116

Views

Find the maximum numbers of rook to put in $6 \times 6$ board such that $2$ rooks don't attack each other?

Published on 31 Jan 2018 - 16:12

score 236 · Answer 4 · 2026-03-13 11:56:45

236

Views

How do I count combinations whose elements are drawn from nested sets?

Published on 13 Mar 2026 - 11:56

score 879 · Answer 5 · 2018-01-31 18:57:25

879

Views

Number of paths between two points

Published on 31 Jan 2018 - 18:57

score 693 · Answer 6 · 2026-03-22 22:57:07

693

Views

How many bit strings of length n are there with two or more consecutive zeros?

Published on 22 Mar 2026 - 22:57

score 4.2k · Answer 7 · 2018-02-01 02:58:17

4.2k

Views

Flip a coin 5 times. What is the probability that heads never occurs twice in a row?

Published on 01 Feb 2018 - 2:58

score 1.2k · Answer 8 · 2026-03-25 01:18:22

1.2k

Views

Proof of the generating function of $1 -2x +3x^2 -4x^3+5x^4-6x^5+\cdots$

Published on 25 Mar 2026 - 1:18

score 272 · Answer 9 · 2018-02-01 04:10:24

272

Views

Show that $\ S(2n, n) \ ≥ n!$ for all $ n ≥ 1$.

Published on 01 Feb 2018 - 4:10

score 110 · Answer 10 · 2026-03-25 22:11:09

110

Views

Finding the conclusion on converse statement of a result in graph theory.

Published on 25 Mar 2026 - 22:11

score 81 · Answer 11 · 2026-03-29 17:18:20

81

Views

Find the number of distinct line ups such that A,B,C are not adjacent?

Published on 29 Mar 2026 - 17:18

score 80 · Answer 12 · 2026-03-25 06:07:05

80

Views

Find the least value of $b$ such that any permutation of given numbers can be expressed as $a^b$

Published on 25 Mar 2026 - 6:07

score 92 · Answer 13 · 2026-03-25 02:44:58

92

Views

$2n$ students want to sit in $n$ fixed school desks such that no one sits with their previous partner

Published on 25 Mar 2026 - 2:44

score 41 · Answer 14 · 2026-03-25 15:41:21

41

Views

Expectation of the Minimum of Dependent Discrete Uniformly Distributed RVs

Published on 25 Mar 2026 - 15:41

score 31 · Answer 15 · 2018-02-01 12:03:48

31

Views

Combination of $+$ and $-$ for sign-alternating sums

Published on 01 Feb 2018 - 12:03

List Question

Prove events are independent if and only if $p=\frac{1}{2}$

Prove that all entries of the nth row of Pascal's Triangle are odd given that $n=2^k-1$

Find the maximum numbers of rook to put in $6 \times 6$ board such that $2$ rooks don't attack each other?

How do I count combinations whose elements are drawn from nested sets?

Number of paths between two points

How many bit strings of length n are there with two or more consecutive zeros?

Flip a coin 5 times. What is the probability that heads never occurs twice in a row?

Proof of the generating function of $1 -2x +3x^2 -4x^3+5x^4-6x^5+\cdots$

Show that $\ S(2n, n) \ ≥ n!$ for all $ n ≥ 1$.

Finding the conclusion on converse statement of a result in graph theory.

Find the number of distinct line ups such that A,B,C are not adjacent?

Find the least value of $b$ such that any permutation of given numbers can be expressed as $a^b$

$2n$ students want to sit in $n$ fixed school desks such that no one sits with their previous partner

Expectation of the Minimum of Dependent Discrete Uniformly Distributed RVs

Combination of $+$ and $-$ for sign-alternating sums

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