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You know deterministic DP. Now handle randomness. Compute probabilities and expected values.
Perfect intro - calculate probability of more heads than tails with different coin probabilities.
Probability that sum of n dice falls in a range - clean transitions.
Understanding expectation
Expected value with time-based probability transitions.
Game theory + probability with alternating turns.
Classic expected value - random selection until all dishes empty.
Sliding window optimization for probability DP.
Covered with full walkthrough in this section.
Covered with full walkthrough in this section.
Covered with full walkthrough in this section.
Rock-paper-scissors survival. 3D probability DP with transition matrix.
Expected days to collect k distinct orbs. DP on collected count.
Expected people on escalator. Probability DP with time steps.
Minimum changes for valid circular attack. DP on consecutive segments.
Expected inversions in BFS order. Probability DP on tree structure.
Expected days to pass all mirrors. Linear recurrence with restart.
Classic probability puzzle. Recurrence reveals beautiful 0.5 answer.
Count valid distributions. Combinatorics + probability with DP.
