To find the probability that Libby will have oatmeal and apple juice, we first need to determine the total number of options she has for food and drink.
Libby's food options are:
- Oatmeal
- Pancakes
- Eggs
So, she has 3 food choices.
Her drink options are:
- Apple juice
- Orange juice
She has 2 drink choices.
Now, to find the total number of combinations of food and drink, we multiply the number of food choices by the number of drink choices:
\[ \text{Total combinations} = \text{Number of food choices} \times \text{Number of drink choices} = 3 \times 2 = 6 \]
Next, we need to determine the number of favorable outcomes. The specific combination we are interested in is oatmeal and apple juice, which is just 1 specific combination.
Now, we can calculate the probability:
\[ \text{Probability of oatmeal and apple juice} = \frac{\text{Number of favorable outcomes}}{\text{Total combinations}} = \frac{1}{6} \]
Therefore, the answer is:
C. \( \frac{1}{6} \)