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A particle is placed in a superposition of eight states, which are all eigenfunctions of the operator 2. The eigenfunctions (numbered Y to Yg)

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A particle is placed in a superposition of eight states, which are all eigenfunctions of the operator 2. The eigenfunctions (numbered Y to Yg) have distinct eigenvalues (w to wg) which are observables of the operator Q2. The overall wave function is as follows: 4 1 1 1 1 1 1 2 V1+ V2+ 4 3+ 8. 44 + 5+ 16 32 64 If a random measurement is made of the property 2, how likely is it to observe the eigenvalue corresponding to state 2? Enter your answer as a percentage (don't include the % sign in your answer, just put it in your units).

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