When Kay flips a coin, there are 2 possible outcomes: heads (H) or tails (T).
When she rolls a fair number cube (which typically has faces numbered from 1 to 6), there are 6 possible outcomes: 1, 2, 3, 4, 5, or 6.
To find the total number of possible outcomes when both the coin is flipped and the number cube is rolled, you multiply the number of outcomes from the coin by the number of outcomes from the number cube:
\[ \text{Total outcomes} = (\text{outcomes from coin}) \times (\text{outcomes from number cube}) = 2 \times 6 = 12 \]
Thus, there are 12 possible outcomes when Kay flips the coin and rolls the fair number cube.