Probability

9 interactive Mathematics simulations on probability.

Mathematics · Probability Discrete random variables – expectation as the long-run average Build the probability distribution table of a discrete random variable in a real-world scenario (a dice game with a prize, the number of... Ages 17–18
Mathematics · Probability Rolling two dice – sample space and probability The sample space for rolling two dice has 36 equally likely outcomes, arranged in a 6×6 table. Choose an event (sum equals k, sum at... Ages 14–15
Mathematics · Probability Permutations, arrangements & combinations – choosing k from n items n items labeled A, B, C… sit in a row; students tap to pick k of them, either ordered or unordered, and compare against the full list of... Ages 15–16
Mathematics · Probability Addition and Multiplication Rules of Probability with Venn and Tree Diagrams A Venn diagram with areas proportional to probability: drag event B closer to or farther from A to change P(AB), and instantly see P(A ∪... Ages 16–17
Mathematics · Probability Dice and coin tosses – experimental probability Roll a die or flip a coin many times; each outcome is tallied in a table and a frequency bar chart updates instantly. Students compare... Ages 11–12
Mathematics · Probability Spinning wheel and bag of marbles – events and probability A spinning wheel is divided into colored slices of different widths (or a bag holds a matching number of marbles per color). Spin once... Ages 12–13
Mathematics · Probability Classical probability: sample space and events List out the entire sample space Ω when tossing 2–3 coins or rolling 1–2 dice (shown as a 6 × 6 grid with dice faces drawn as pips).... Ages 15–16
Mathematics · Probability Conditional probability and Bayes' theorem: disease testing A medical-testing problem: disease prevalence, sensitivity P(+|disease), and specificity P(−|healthy) are given. A tree diagram, a 2×2... Ages 17–18
Mathematics · Probability Experimental probability from repeated marble draws A bag holds red, blue, and yellow marbles; draw one at random, record its color, put it back, and repeat N times. Students draw one... Ages 13–14