Stage 32 · Counting, Permutations, Combinations & the Binomial Theorem

32.4.7 Toward Probability: Expanding Success and Failure

32.4 The Binomial Theorem and Pascal's Triangle

Point 7 of 7

32.4.7 Toward Probability: Expanding Success and Failure

Core idea

If a and b stand for the probabilities of 'success' and 'failure', the terms of (p+q)^n foreshadow the binomial distribution coming in the next stage

Module goal. Use combination numbers to explain the expansion of (a+b)^n, master the general term and the pattern of the coefficients, and connect it to Pascal's triangle, paving the way for the binomial distribution in the next stage on probability

eastmath.com · 32.4 The Binomial Theorem and Pascal's Triangle · 32.4.7 Toward Probability: Expanding Success and Failure