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 heels
Under 18 5 6
18 or older 3 5
What is the probability that a randomly selected contestant is under 18 and is wearing high heels?
Simplify any fractions.
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Answer 1

To find the probability that a randomly selected contestant is under 18 and is wearing high heels, we will use the information provided in the table and follow these steps:

1. **Identify total contestants and the specific group**: We need to find the total number of contestants and the specific number of contestants who are under 18 and wearing high heels.

2. **Total contestants**:
- Under 18 contestants: Tennis shoes (5) + High heels (6) = 11
- 18 or older contestants: Tennis shoes (3) + High heels (5) = 8
- Total contestants = 11 (under 18) + 8 (18 or older) = 19

3. **Identify the specific group**:
- The number of contestants who are under 18 and wearing high heels = 6

4. **Calculate the probability**:
- The probability \( P \) that a randomly selected contestant is under 18 and wearing high heels is given by the formula:
\[
P(\text{Under 18 and High Heels}) = \frac{\text{Number of Under 18 contestants wearing High Heels}}{\text{Total Number of Contestants}} = \frac{6}{19}
\]

The probability that a randomly selected contestant is under 18 and is wearing high heels is \(\frac{6}{19}\).