The following frequency table shows the number of students in a school who participate in different after - school activities:
What is the probability that a randomly selected student participates in music given that the student is a girl?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question involves conditional probability and makes use of a frequency table.
The main focus is on extracting the relevant data from the frequency table to calculate the conditional probability of a student participating in a particular activity given their gender.
Key Concept Explanation
Conditional probability is calculated using the formula .
In the context of a frequency table, we can find the probabilities by using the frequencies of the events.
Here, represents the event of a student participating in music, and represents the event of a student being a girl.
In frequency table terms, this translates to:
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