Working Notes: a commonplace notebook for recording & exploring ideas.
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Sample space Set of all possible outcomes of an experiment.
Event Subset of sample space.
Naive Definition of Probability P(A) = # favourable to a outcomes / # possible outcomes P = probability A = of Event A
Counting
Binomial Coefficient (n C k) = n! / (n-k)! k! Subsets of size k of groups n people if k <= n Motivated by manually counting out how we can choose people Order doesn't matter
Full house: 3 cards of one rank, 2 of another. Eg (7, 7, 7, 10, 10)
Assume shuffled deck of cards
Numerator:
Denominator: (52 C 5)
Eg. if I have a set of 1, 2, 3 Replacement with order doesn't matter: choosing 2 elements: 11, 22, 33, 12, 13, 23
— Kunal