# 9. Problem 9

Vasya throws three dice (cubes with numbers from 1 to 6 on the faces) and adds the numbers that come up. Additionally, if all three numbers are different, he can throw all three dice again and add the numbers that come up to the already accumulated sum, and continue doing so until at least two of the three numbers match. What is the expected value of Vasya's result?
# 9. Problem 9

Vasya throws three dice (cubes with numbers from 1 to 6 on the faces) and adds the numbers that come up. Additionally, if all three numbers are different, he can throw all three dice again and add the numbers that come up to the already accumulated sum, and continue doing so until at least two of the three numbers match. What is the expected value of Vasya's result?

Answer: 23.625

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