In a school, 40% of students take physics, 35% take chemistry, and 20% take both. What is the probability that a student takes chemistry given that they take physics?
Options
A
5/8
B
4/7
C
1/2
D
3/4
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question involves conditional probability within the context of students' course enrollment.
The main focus is on using the given probabilities of individual courses and the probability of students taking both courses to calculate the conditional probability.
Key Concept Explanation
Conditional probability formula is applied here. represents the event of taking chemistry and represents the event of taking physics.
The intersection is the probability of students taking both courses, and is the probability of taking the given course (physics in this case).
Step-by-Step Solution
We know that ,
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