a store recently released a new line of alarm clocks that emit a smell to wake you up in the morning. the…

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.\n| |under 13 years old|a teenager|\n|--|--|--|\n|bacon|4|2|\n|cinnamon|4|7|\n|oranges|6|7|\nwhat is the probability that a randomly selected user did not purchase a clock scented like oranges and is not under 13 years old?\nsimplify any fractions.

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.\n| |under 13 years old|a teenager|\n|--|--|--|\n|bacon|4|2|\n|cinnamon|4|7|\n|oranges|6|7|\nwhat is the probability that a randomly selected user did not purchase a clock scented like oranges and is not under 13 years old?\nsimplify any fractions.

Answer

Answer:

$\frac{9}{30}=\frac{3}{10}$

Explanation:

Step1: Calculate total number of users

$4 + 2+4 + 7+6 + 7=30$

Step2: Find number of users who did not purchase orange - scented and are not under 13

For non - orange scented (bacon and cinnamon) and non - under 13 (teenagers), we have $2 + 7=9$

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{9}{30}=\frac{3}{10}$