which representation illustrates all the possible outcomes of flipping a coin and rolling a number cube with…

Explanation:

Step1: Analyze the coin - flip outcomes

A coin flip has 2 outcomes: heads (H) and tails (T).

Step2: Analyze the number - cube roll outcomes

Rolling a number cube with numbers 1 - 6 has 6 outcomes: 1, 2, 3, 4, 5, 6.

Step3: Find the combined outcomes

By the fundamental counting principle, the total number of combined outcomes of flipping a coin and rolling a number cube is (2\times6 = 12). The combined outcomes are of the form (coin - flip result, number - cube result). For example, (H, 1), (H, 2), etc. The first table shows all 12 possible combined outcomes: H1 (heads and 1), H2 (heads and 2), H3, H4, H5, H6, T1 (tails and 1), T2, T3, T4, T5, T6.

Answer:

The first table (the one with rows labeled H and T and columns labeled 1 - 6)