Newbetuts

Simplifying $10 \binom{29}{0} + 9\binom{30}{1} + 8 \binom{31}{2} + \ldots + 2\binom{37}{8} + 1\binom{38}{9}$

Finding probability that an equation has real roots when two numbers are chosen from a uniform distribution

What does it mean to integrate with respect to the distribution function?

Birthday-coverage problem

What is the expected length of the largest run of heads if we make 1,000 flips?

Is the limit $x \to - \infty$ of the cumulative distribution function always equal to $0$?

What is Var(X - Y)?

Computing the expected size of the largest connected component in a "hitomezashi graph" (described in the question body)

Colliding Bullets

Probability that a quadratic equation has real roots

Exam with $12$ yes/no questions (half yes, half no) and $8$ correct needed to pass, is it better to answer randomly or answer exactly 6 times yes?

Why is the probability that a continuous random variable takes a specific value zero?

What is $\binom{n}{2} \binom{n}{1} + \binom{n}{3} \binom{n}{2} + \ldots + \binom{n}{n-1} \binom{n}{n-2} + \binom{n}{n} \binom{n}{n-1}$?

Book on combinatorial identities

New posts in probability

Expected value of the number of flips until the first head

How to compute the sum of random variables of geometric distribution

Expected value of maximum of two random variables from uniform distribution

Average length of the longest segment

Do set intersection cardinalities depend on one another?

Find the similarity metric between two strings

Simplifying $10 \binom{29}{0} + 9\binom{30}{1} + 8 \binom{31}{2} + \ldots + 2\binom{37}{8} + 1\binom{38}{9}$

Finding probability that an equation has real roots when two numbers are chosen from a uniform distribution

What does it mean to integrate with respect to the distribution function?

Birthday-coverage problem

What is the expected length of the largest run of heads if we make 1,000 flips?

Is the limit $x \to - \infty$ of the cumulative distribution function always equal to $0$?

What is Var(X - Y)?

Computing the expected size of the largest connected component in a "hitomezashi graph" (described in the question body)

Colliding Bullets

Probability that a quadratic equation has real roots

Exam with $12$ yes/no questions (half yes, half no) and $8$ correct needed to pass, is it better to answer randomly or answer exactly 6 times yes?

Why is the probability that a continuous random variable takes a specific value zero?

What is $\binom{n}{2} \binom{n}{1} + \binom{n}{3} \binom{n}{2} + \ldots + \binom{n}{n-1} \binom{n}{n-2} + \binom{n}{n} \binom{n}{n-1}$?

Book on combinatorial identities