Let's analyze the problem step-by-step to determine which outcome is represented by [tex]\( x \)[/tex].
The table represents all possible outcomes when rolling a six-sided number cube and flipping a coin. The rows are labeled H (Heads) and T (Tails), and the columns are labeled with the numbers from 1 to 6, representing the faces of the cube.
Here's the table provided:
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
& 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
H & H1 & H2 & H3 & H4 & H5 & H6 \\
\hline
T & T1 & x & T3 & T4 & T5 & T6 \\
\hline
\end{array}
\][/tex]
We need to identify what [tex]\( x \)[/tex] represents by referring to the options provided:
- rolling a two and the coin landing on tails
- rolling a three and the coin landing on tails
- rolling a two and the coin landing on heads
- rolling a three and the coin landing on heads
Given the structure of the table:
- The first row labeled H contains outcomes when the coin lands on Heads.
- The second row labeled T contains outcomes when the coin lands on Tails.
- The columns numbered 1 through 6 correspond to the outcomes of rolling the six-sided number cube.
Since [tex]\( x \)[/tex] is located in the second row (Tails) and the second column (number 2), [tex]\( x \)[/tex] is the outcome where the six-sided die rolls a 2 and the coin lands on Tails.
Thus, [tex]\( x \)[/tex] represents the outcome of rolling a two and the coin landing on tails.
