10-sided die with i faces

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Could somebody please explain how this answer is derived? Why exactly these numbers to those events?

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What the question is means that the die has

  • 1 face which is 1
  • 2 faces which are 2
  • 3 faces which are 3
  • 4 faces which are 4

for a total of 10 faces. Hope this clears it up.