Expected number of strings of m or more consecutive successes
19912
Probability for the length of the longest run in $n$ Bernoulli trials
66384
Probability of substring inside string of coin-tosses
15239
Probability that a sequence repeats itself
48119
Probability of finding a particular sequence of base pairs
68979
Expected Value of Flips Until HT Consecutively
51587
Sum of Bernoulli random variables with different success probabilities
141605
Finite Markov Chain: $ X_n = X_{n-1}+B_{n} $ with two recurrent states.
17371
Recurrence relation for number of ternary strings that contain two consecutive zeros
112710
Expected Number of coin flips for 2 consecutive heads for first time.
41448
Counting set for generating functions
84543
Probability of finding a pattern
35515
Find the number of $(m+n)$ digit binary sequences with $m$ $0$'s and $n$ $1$'s such that no two $1$'s are adjacent
150197
Generalizing Poisson's binomial distribution to the multinomial case.
34155
Probability Problem with $n$ keys
80744
What is the number of strings at size $n$ that is constructed from ${a,b,c,d}$ and there is an even num of $a$
64720
Expected value of sums
90357
Expected value of two successive heads or tails (stuck on computation)