Two fair dice are thrown. Let E7 denote the event that the sum of the dice is 7.

Two fair dice are thrown. Let E7 denote the event that the sum of the dice is 7. | savvyessaywriters.org

Two fair dice are thrown. Let E7 denote the event that the sum of the dice is 7. Let F denote the event that the first die equals 4 and let T be the event that the second die equals 3. Now it can be shown (see Problem 36) that E7 is independent of F and that E7 is also independent of T; but clearly E7 is not independent of FT [since P(E7|FT ) = 1].

 

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