Free Response Question: Consider a system of two particles. Particle A has spin 2, and particle B has spin 1. a.) Suppose these particles are in the state I2, 2) | 1, 0). If you were to measure the total spin squared. what values could you get, and what are their respective probabilities? Explain your reasoning. Write your answer to this part on a separate sheet of paper and upload it to the assignment folder after the exam is over. b.) Now. suppose you measure the total spin of the system to be in the state |Stot, Mtot) = l2, 1). If you were to measure the zcomponent of the spin of particle B (the spin 1 particle), what is the probability that you will get 0h? Enter ym numerical answer to this part in the box below. Upload your work on this problem to the assignment folder after the exam is over