Condition of Pair-wise Independence or Mutual Independence in a Random Drawing Balls Model and Constructing Its Models

Junming Chen · College Mathematics · 2013

It used a random drawing balls model to explain that pair-wise independent events can't be concluded to be mutual independent.Based on it,we got a necessary and sufficient condition of pair-wise independence in the a random drawing balls model which is composed of single-color-balls and all-color-balls.Then it got a necessary condition of mutual independence among n chance events,and built a color structure of balls in which the colors on the balls we randomly selected are mutual independent.

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