A store recently released a new line of alarm clocks that emit a smell to wake you up in the morning. The head of sales tracked users' ages and which smells they preferred.

Question

Under 13 years old A teenager
Bacon 8 3
Cinnamon 2 7
What is the probability that a randomly selected user chose a clock scented like cinnamon and is under 13 years old?
Simplify any fractions.

Answer 1

To find the probability that a randomly selected user chose a clock scented like cinnamon and is under 13 years old, we first need to determine the total number of users and the number of users who fit the criteria.

From the data provided:

• Under 13 years old:
  • Cinnamon: 2
• Total under 13 years old: 8 (Bacon) + 2 (Cinnamon) = 10

Now, we can calculate the probability:

1. The number of users under 13 years old who chose cinnamon is 2.
2. The total number of users is 10.

The probability \( P \) that a randomly selected user chose a clock scented like cinnamon and is under 13 years old is given by:

\[ P = \frac{\text{Number of under 13 users who chose cinnamon}}{\text{Total number of users under 13}} = \frac{2}{10} = \frac{1}{5} \]

So, the probability is \( \frac{1}{5} \).