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Bob entered his sister into their town's Smelly Shoe Competition. Bob observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.Tennis shoes High heelsUnder 18 5 618 or older 3 5What is the probability that a randomly selected contestant is under 18 and is wearing high heels?Simplify any fractions.

Question

Bob entered his sister into their town's Smelly Shoe Competition. Bob observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.Tennis shoes High heelsUnder 18 5 618 or older 3 5What is the probability that a randomly selected contestant is under 18 and is wearing high heels?Simplify any fractions.

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Solution

The problem involves finding the probability of two independent events occurring simultaneously.

First, let's identify the total number of contestants. We add up all the numbers in the table:

5 (Under 18, Tennis shoes) + 6 (Under 18, High heels) + 3 (18 or older, Tennis shoes) + 5 (18 or older, High heels) = 19 total contestants

Next, we need to find the number of contestants who are both under 18 and wearing high heels. According to the table, there are 6 such contestants.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is a contestant being under 18 and wearing high heels, and the total number of outcomes is the total number of contestants.

So, the probability is 6 (Under 18, High heels) / 19 (Total contestants) = 6/19

Therefore, the probability that a randomly selected contestant is under 18 and is wearing high heels is 6/19.

This problem has been solved

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