D) Suppose we start out in a configuration with 6 total packets of energy, with 4 in subsystem A and 2 in subsystem B. If one packet of energy moves from A to B (so that we end up with 3 packets in each subsystem), calculate (in terms of \( k_{B} \) ) 1. the change in entropy of subsystem \( \mathrm{A}, \Delta S_{A} \) 2. the change in entropy of subsystem \( \mathrm{B}, \Delta S_{B} \) 3. the change in entropy of the whole system, \( \Delta S_{A B} \) E) Repeat part (D) for the case of a packet moving from B to A (instead of A to B), ending with 5 packets in \( A \) and 1 in \( B \). F) Discuss the results of parts (D) and (E). Consider things like possibility and probability of occurance.
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