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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

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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.

This problem has been solved

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