FYKOS Year 29 Series 5 Problem 2 — multiparticular · FYKOS 29 #29.5.2

Physics · mechanics

Problem

Let's have a container that is split by imaginary plane into two disjunct parts A and B, identical in size. There are nparticlesnparticles in the container and each of them has a probability of 50 % to be in part A and probability 50 % to be in part B. Figure out the probabilities of the part A containing nA=0.6nn_{A}=0.6n or nA=1+n⁄2n_{A}=1+n⁄2 particles respectively.. Solve it for n=10n=10 and n=NAn=N_{A}, where NA≈6⋅1023N_{A}≈6\cdot 10^{23} is Avogadro's constant.

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