An urn contains 5 green, 7 yellow and 8 red balls

MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

An urn contains 5 green, 7 yellow and 8 red balls. Two balls are drawn one after the other. (i) If each ball drawn is replaced before the next draw, calculate the probability of obtaining one red and one green ball in any order. (ii) If the first ball drawn is not replaced, calculate the probability of obtaining one red and one green ball in any order. (iii) Compare the answers obtained in parts (i) and (ii).

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