Q10
Alice is playing a game where she rolls a six-sided die twice. Three sides of this die have the number 1 written on them, two sides of
this die have the number 2 written on them, and one side of this die has the number 5 written on it. After each roll, Alice receives a
number of dollars equal to the number that landed face-up. On average, how many dollars will Alice get paid from playing this game
once?

Respuesta :

On average, Alice will get paid 2 dollars from playing this game once.

Averages

Given that Alice is playing a game where she rolls a six-sided die twice, and three sides of this die have the number 1 written on them, two sides of this die have the number 2 written on them, and one side of this die has the number 5 written on it, and after each roll, Alice receives a number of dollars equal to the number that landed face-up, to determine, on average, how many dollars will Alice get paid from playing this game once, the following calculation must be performed:

  • (3x1 + 2x2 + 5) / 6 = X
  • (3 + 4 + 5) / 6 = X
  • 12 / 6 = X
  • 2 = X

Therefore, on average, Alice will get paid 2 dollars from playing this game once.

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