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Predict theoretical probability from a colored spinner, then simulate spins to compare!
Two-dice probability: exact sums, doubles, ranges, and combos — with simulations to compare!
Fair coin flipping—exactly k heads, specific sequences, and “at least/at most” events. Includes a simulator.
Ordered draws from a bag. Compute P(sequences) with and without replacement, then simulate to compare.
Two-set Venn diagram problems: unions, intersections, complements, and conditionals—with a simulator.
Read 2×2 contingency tables to compute marginals, intersections, unions, and conditional probabilities—with simulation.
Compute expected value for discrete games—then simulate to watch the sample mean approach the EV.
Compute binomial probabilities: exactly k, at least k, or at most k successes out of n. Includes a Monte Carlo simulator.
Use prevalence, sensitivity, and specificity to compute posteriors like P(Disease | positive). Includes a simulation.
Compute tail/interval probabilities and inverse percentiles for Normal(μ,σ). Includes a shaded bell curve and simulation.