Probability problems
Bayes, expectation, counting. The language of uncertainty.
420 problems150 Easy189 Medium81 Hard
50 problems
Bayes Theorem
pr-001
Expected Value
pr-002
Combinations (nCr)
pr-003
Permutations (nPr)
pr-004
Variance of Discrete RV
pr-005
Factorial for Counting Outcomes
pr-006
Stars and Bars
pr-007
Complement Probability
pr-008
At Least One Success
pr-009
Binomial Mean and Variance
pr-010
Expected Maximum of Two Dice
pr-011
Geometric PMF
pr-012
Poisson PMF
pr-013
Exponential PDF
pr-014
Exponential CDF
pr-015
Uniform Continuous PDF
pr-016
Independence Check
pr-017
Indicator Expectation
pr-018
Normal PDF Value
pr-019
Covariance of Two Indicators
pr-020
Geometric CDF
pr-021
Multinomial Count
pr-022
Standard Deviation of Discrete RV
pr-023
Total Probability
pr-024
Conditional Probability Table 2x2
pr-025
Bayes Two Hypotheses
pr-026
Multinomial PMF
pr-027
Hypergeometric PMF
pr-028
Birthday Problem Probability
pr-029
Coupon Collector Expected Count
pr-030
Binomial CDF
pr-031
Negative Binomial PMF
pr-032
Poisson CDF
pr-033
Two Dice Sum Distribution
pr-034
Card Draw At Least One
pr-035
Normal CDF via erf
pr-036
Markov Chain One-Step
pr-037
Stationary Distribution Two-State
pr-038
Convolution of Two PMFs
pr-039
MGF of Bernoulli
pr-040
Correlation of Bernoulli Variables
pr-041
Bayes Three Hypotheses
pr-042
Pairwise vs Mutual Independence
pr-043
Inclusion-Exclusion Three Events
pr-044
Markov Chain N-Step Distribution
pr-045
Absorbing Probability Two-State
pr-046
Random Walk Expected Hitting Time
pr-047
Gambler's Ruin
pr-048
LLN Running Average (Seeded)
pr-049
CLT Mean of Uniform Sample (Seeded)
pr-050
Showing 50 of 420 problems.