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**Problem:**  
- A dice game costs $1 to play (a loss of $1 initially).  
- Players roll two fair dice once:
  - If the sum is a double (e.g., 2, 4, 6, etc.), they win $3 (resulting in a net gain of $2).  
  - If the sum is not a double, they lose their $1 entry fee (net gain of $-\$1$).  
- The task is to find the **expected net loss or gain** for a player.

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### Solution:

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AP Statistics students designed a dice game that costs $1 to roll two fair dice once. If a player rolls doubles, they win $3 ($2 net gain). If they do not roll doubles, they lose their dollar (-$1 net gain). What is the expected net loss or gain for a player that rolls the dice one time?

Explore the expected net loss or gain in a dice game involving rolling two dice. Learn about key probability concepts, such as expected value and outcomes, suitable for high school AP Statistics students.

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