Respuesta :
Answer:
8-10 on average
Step-by-step explanation:
The very middle of the die is 4 and five and 8, 9, 10 have the most possible combinations. Please leave a heart if I helped :)
To find the average amount of money paid when rolling two 8-sided dice, we need to calculate the average sum of the rolls.
Each die has 8 sides labeled 1 through 8. The sum of two rolls can range from 2 (if both dice roll a 1) to 16 (if both dice roll an 8).
To find the average, we sum up all possible outcomes and divide by the total number of outcomes.
The possible outcomes and their frequencies are:
- Sum 2: 1 way (rolling 1 on both dice)
- Sum 3: 2 ways (rolling 1-2, 2-1)
- Sum 4: 3 ways (rolling 1-3, 2-2, 3-1)
- ...
- Sum 16: 1 way (rolling 8 on both dice)
So, there are \(8 \times 8 = 64\) total outcomes.
Summing up the products of each outcome and its frequency:
\[ 1 \times 1 + 2 \times 2 + 3 \times 3 + \ldots + 16 \times 1 = 64 \]
\[ = 1 + 4 + 9 + \ldots + 16 \]
\[ = 204 \]
Now, divide the sum by the total number of outcomes:
\[ \text{Average sum} = \frac{204}{64} = 3.1875 \]
So, on average, $3.1875 would be paid.
