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A box contains 4 resistors of 1 Ohm, 3 resistors of 2 Ohms and 3 resistors of 3 Ohms. Three resistors are extracted (obviously, without

A box contains 4 resistors of 1 Ohm, 3 resistors of 2 Ohms and 3 resistors of 3 Ohms. Three resistors are extracted (obviously, without replacement) at random from the box and connected in series between the points A and B. What is the expected value of the effective resistance (i.e., the sum of the resistances of the three resistors in series) between A and B?

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