Question

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.
what is the probability that a randomly selected user chose a clock scented like cinnamon and is under 13 years old?
simplify any fractions.

Explanation:

Step1: Calculate the total number of users

Add up all the values in the table: \(8 + 3+2 + 7=20\)

Step2: Find the number of users who chose cinnamon - scented clock and are under 13 years old

From the table, the value for "Under 13 years old" and "Cinnamon" is \(2\)

Step3: Calculate the probability

The probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes is \(2\) (users who chose cinnamon - scented clock and are under 13 years old), and the total number of outcomes is \(20\). So \(P = \frac{2}{20}=\frac{1}{10}\)

Answer:

\(\frac{1}{10}\)