Two players: Player A and Player B are playing a game by rolling a dice. They decided that the player who will get the higher total will be the winner. In total they rolled the dice three times and the observations were recorded as follows:

| PLAYER A | 2 | 5 | 1 |
|---|---|---|

Question

Two players: Player A and Player B are playing a game by rolling a dice. They decided that the player who will get the higher total will be the winner. In total they rolled the dice three times and the observations were recorded as follows:

| PLAYER A | 2 | 5 | 1 |
|---|---|---|---|
| PLAYER B | 1 | 4 | 6 |

Answer the following questions on the basis of the information given above:
a) Who is winner of the game.
b) Represent the above information as numerical inequality.

Accepted Answer

> [!TLDR] > Adding each player's three rolls gives A $=8$ and B $=11$; the higher total wins, so B is the winner and $8 < 11$. > [!FORMULA] > Winner has the greater total: compare $\sum ext{(A's rolls)}$ with $\sum ext{(B's rolls)}$ using a numerical inequality. 1. **Player A total:** $2 + 5 + 1 = 8$. 2. **Player B total:** $1 + 4 + 6 = 11$. 3. **(a) Winner:** since $11 > 8$, **Player B** has the higher total and is the winner. 4. **(b) Inequality:** $$8 < 11 \quad ext{(Total of A} < ext{Total of B)}$$ > [!ANSWER] > (a) Player B is the winner (total $11 > 8$). > (b) $8 < 11$, i.e. Player A's total $<$ Player B's total.

Concept understanding — Net Worth Comparison

Net Worth Comparison — From Intuition to Precision

The Intuition

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