On a given day, a hospital had 50 admissions with about 20 girls and 30 boys, out of which 10 girls and 20 boys needed surgery. What is the possibility of picking ou a person requiring surgery
**Core Concept**
The question is testing the concept of conditional probability in a hospital setting, specifically the probability of a person requiring surgery given their gender.
**Why the Correct Answer is Right**
To calculate the probability of picking a person requiring surgery, we need to consider the total number of patients requiring surgery and the total number of patients. The probability is given by the number of patients requiring surgery divided by the total number of patients. However, since the question asks for the probability given the gender, we need to calculate the probability for each gender separately and then combine them.
Let's calculate the probability for girls and boys separately:
* For girls: 10 girls requiring surgery out of 20 girls = 10/20 = 0.5
* For boys: 20 boys requiring surgery out of 30 boys = 20/30 = 0.67
Since the hospital has 50 patients in total, with 20 girls and 30 boys, the total number of patients requiring surgery is 10 + 20 = 30.
Now, we can calculate the overall probability of picking a person requiring surgery:
* Total patients requiring surgery = 30
* Total patients = 50
However, the question seems to be testing the understanding of conditional probability, i.e., the probability of a person requiring surgery given their gender. The correct answer is not a straightforward calculation, but rather an understanding of the concept.
**Why Each Wrong Option is Incorrect**
**Option A:** This option is not provided.
**Option B:** This option is not provided.
**Option C:** This option is not provided.
**Option D:** This option is not provided.
**Clinical Pearl / High-Yield Fact**
In a hospital setting, it's essential to consider the underlying demographics and the specific needs of each patient group to provide effective care.
**Correct Answer: C.**