Question

An urn has n−3 green balls and 3 red balls. Draw L balls with replacement. Let B denote the event that a red ball is seen at least once. Find P(B) using the following methods.
42 1. Experiments with random outcomes
(a) Use inclusion-exclusion with the events Ai = {ith draw is red}. Hint. Use the general inclusion-exclusion formula from Fact 1.26 and the binomial theorem from Fact D.2.

(b) Decompose the event by considering the events of seeing a red exactly k times, with k = 1,2,...,L.

(c) Compute the probability by considering the complement Bc

Answer 1

Solution