An urn contains 4 balls: 1 white, 1 green and 2 red. We draw 3 balls with replacement. Find the probability that we did not see all three colors. Use two different calculations, as specified by (a) and (b) below. (a) Define the event W = {white ball did not appear} and similarly for G and R. Use inclusion-exclusion. (b) Compute the probability by considering the complement of the event that we did not see all three colors.

An urn contains 4 balls: 1 white, 1 green and 2 red. We draw 3 balls with replacement. Find the probability that we did not see all three colors. Use two different calculations, as specified by (a) and (b) below. (a) Define the event W = {white ball did not appear} and similarly for G and R. Use inclusion-exclusion. (b) Compute the probability by considering the complement of the event that we did not see all three colors.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 35E

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