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.Under 13 years old A teenagerBacon 4 2Cinnamon 4 7Oranges 6 7What is the probability that a randomly selected user did not purchase a clock scented like oranges and is not under 13 years old?Simplify any fractions.Submit
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.Under 13 years old A teenagerBacon 4 2Cinnamon 4 7Oranges 6 7What is the probability that a randomly selected user did not purchase a clock scented like oranges and is not under 13 years old?Simplify any fractions.Submit
Solution
To solve this problem, we first need to find the total number of users. We do this by adding up all the users in the table:
Bacon: 4 (under 13) + 2 (teenager) = 6 Cinnamon: 4 (under 13) + 7 (teenager) = 11 Oranges: 6 (under 13) + 7 (teenager) = 13
Total users = 6 + 11 + 13 = 30
Next, we need to find the number of users who are not under 13 and did not purchase a clock scented like oranges. This would be the total number of teenagers who purchased either the bacon or cinnamon scented clocks, which is 2 (bacon) + 7 (cinnamon) = 9.
So, the probability that a randomly selected user did not purchase a clock scented like oranges and is not under 13 years old is 9 out of 30, or 9/30.
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 3.
So, 9/30 simplifies to 3/10.
Therefore, the probability is 3/10.
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