Problem 2. The correct answer is $(\mathbf{C})$.

At each turn, Giulia arranges $2+2+3+3+3=13$ beads into the 5 boxes. Since the division 2022 : 13 gives a remainder of 7, the 2022nd bead will end up in the same box where the seventh one goes, which is the red box.
2. Giulia has a lot of beads and 5 colored boxes to put them in: she puts 2 in the yellow box, 2 in the blue box, then 3 in the red one, 3 in the green one, and 3 in the white one, after which she starts over with the same rule. Which box will the 2022nd bead go into?
(A) yellow
(B) blue
(C) red
(D) green
(E) white