Final answer:
To calculate the probability of spinning 'praline water' and then 'oven-baked apple & lavender calzone', we use the product rule for independent events, multiplying the probability of each event. Since there are 12 equal sections, the probability of each event is 1/12, and thus the combined probability is (1/12) × (1/12) = 1/144, which corresponds to option A.
Step-by-step explanation:
The question asks about finding the probability of two independent events happening in succession using a spinner divided into 12 sections. Specifically, it asks for the probability of firstly spinning on a section labeled 'praline water' and then spinning on 'oven-baked apple & lavender calzone' in the next spin.
In probability theory, when two events, A and B, are independent, the probability of both events occurring is the product of their individual probabilities, which is represented by the formula P(A ∩ B) = P(A) × P(B). Assuming each section of the spinner has an equal chance of being landed on, each individual probability is 1/12, since there are 12 sections.
Using this formula, we calculate the combined probability as:
P(praline water and oven-baked apple & lavender calzone) = P(praline water) × P(oven-baked apple & lavender calzone)
= (1/12) × (1/12) = 1/144
This result matches option A. Therefore, the correct answer is 1/144.