Question 1165829: The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.
A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, x. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6.
Which outcome is represented by x?
Answer by CPhill(2189)   (Show Source):
You can put this solution on YOUR website! The outcome represented by **x** is **T 2**.
Here is the reasoning:
The table shows all possible combinations of two independent events:
1. **Rolling a six-sided number cube:** Possible outcomes are $\{1, 2, 3, 4, 5, 6\}$.
2. **Flipping a coin:** Possible outcomes are $\{H \text{ (Heads)}, T \text{ (Tails)}\}$.
The total possible outcomes are 12: $\{H1, T1, H2, T2, H3, T3, H4, T4, H5, T5, H6, T6\}$.
The table is organized by the number cube roll (columns 2 through 7) and the coin flip (rows 1 and 2).
| | 1 | 2 | 3 | 4 | 5 | 6 |
| :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| **H** | H 1 | H 2 | H 3 | H 4 | H 5 | H 6 |
| **T** | T 1 | **x** | T 3 | T 4 | T 5 | T 6 |
The entry **x** is in the row corresponding to **Tails (T)** and the column corresponding to the roll **2**. Therefore, the outcome is **T 2**.
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