Math Problem Statement
Solution
Let's analyze the problem step by step based on the table provided.
Table Information:
- Rows: Attended or did not attend the study session.
- Columns: Passed midterm or did not pass midterm.
The table looks like this:
Passed midterm | Did not pass midterm | |
---|---|---|
Attended study session | 63 | 8 |
Did not attend study session | 12 | 17 |
The total number of students who passed the midterm is the sum of the students who attended the study session and passed, and the students who did not attend but still passed:
Question:
You are asked to find the probability that a randomly selected student who passed the midterm did not attend the study session.
Total number of students who passed the midterm = 75
Number of students who passed the midterm and did not attend the study session = 12
Probability Formula:
So, the probability that a student who passed the midterm did not attend the study session is or 0.16 (16%).
Would you like further clarification or details on this?
Here are 5 related questions to expand on this topic:
- What is the probability that a student who attended the study session passed the midterm?
- What is the probability that a student did not pass the midterm?
- How would the probability change if only students who attended the session were considered?
- What is the total number of students who did not attend the study session?
- What is the probability of randomly selecting a student who did not attend the study session?
Tip:
When dealing with conditional probabilities, always identify the subset (e.g., students who passed the midterm) before calculating the likelihood of a specific condition (e.g., did not attend).
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Math Problem Analysis
Mathematical Concepts
Probability
Conditional Probability
Statistics
Formulas
P(Did not attend | Passed) = (Number of students who did not attend and passed) / (Total number of students who passed)
Theorems
Conditional Probability
Suitable Grade Level
Grades 9-12