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Answer :-(i)Given that the clata,タ.A child with blocks and constraints on pheyical systemAlertain child's room is partioned into 100 squares.Ners toy box in the corner is Exactly one square insye and Contains some number of backs. When he phys with the toys, he tends to throw them around and Everly Scatter them about the room.(a) Since toy box is fixed at one bocation in the corner and it is closed so there is only, one acusible state for this system.(b) Given that the data,The total number of aussible microstates for this System, if the system. if the toy box lid is Opened.If toy box lid is open thin Zach blok can be in any of the 100 Squares (99 squar plas toybor) also any one Square can aucomodate all 3 So total no. of auessible microtates for this system is100 \times 100 \times 100=1000000 .(2)(c) Red bbuk in the toy box is one only one Stale as toy box is fixed in corner. Also, Green box in squars # 75 and blue box in Square # 15. Combined, this only one possible microtable as all 3 paritions are fixed.So probalility =\frac{1}{1000000}.(d) Reb black in tay box is one possibility but Hue block in any square is 100 possibility & similarly for green block so total no-of acussible microtabe is 1 \times 100 \times 100^{\circ}\text { Probability }=\frac{10000}{1000000}=\frac{1}{100}(e) Suppose initally all bockes are in box and the boy came and start playing with them. Suppose system has not reached.(*) The condition must be satisfied to say that a System is equally likely to be in any of its accissible microstates.Thank You T ...