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Find the probability that she is a pediatrician 

To find the probability that a doctor chosen at random is a pediatrician, we need to know the total number of doctors and the number of pediatricians. From the image, we have the following information:

- **Pathology**: 4 MDs and 1 Doctor of Osteopathy (DO)
- **Pediatrics**: 5 MDs and 3 DOs
- **Orthopedics**: 11 MDs and 3 DOs

### Step 1: Calculate the total number of doctors
We add up the number of doctors (MDs and DOs) across all specialties:

\[
\text{Total doctors} = (4 + 1) + (5 + 3) + (11 + 3) = 5 + 8 + 14 = 27
\]

### Step 2: Find the number of pediatricians
From the table, there are 5 MDs and 3 DOs in Pediatrics:

\[
\text{Pediatricians} = 5 + 3 = 8
\]

### Step 3: Calculate the probability
The probability \( P(\text{Pediatrician}) \) is the ratio of the number of pediatricians to the total number of doctors:

\[
P(\text{Pediatrician}) = \frac{8}{27}
\]

So, the probability that a randomly selected doctor is a pediatrician is:

\[
P(\text{Pediatrician}) = \frac{8}{27} \approx 0.2963
\]

This is approximately 29.63%.

Would you like more details or have any further questions?

Here are 5 related questions:
1. What is the probability that a doctor is an MD?
2. What is the probability that a doctor specializes in Orthopedics?
3. What is the probability that a doctor is not a Pathologist?
4. How would the probability change if there were more pediatricians?
5. Can the number of doctors be interpreted differently if the table represents shifts rather than individuals?

**Tip:** When dealing with probabilities, always confirm the total population size before calculating individual event probabilities.

Find the probability that she is a pediatrician.

Learn how to calculate the probability that a randomly selected doctor is a pediatrician from a hospital staff. The staff includes 27 doctors across Pathology, Pediatrics, and Orthopedics. This problem covers key probability concepts using simple ratio calculations. Suitable for students in Grades 6-9.

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