Math Problem Statement
Solution
Let's solve this step by step!
Problem Breakdown:
We are tasked with finding the probability that the driver was not intoxicated but the pedestrian was intoxicated, based on the given data table.
Step 1: Extract data from the table.
From the table:
- Driver NOT Intoxicated AND Pedestrian Intoxicated: This corresponds to 270 cases.
- Total number of cases: 978 (sum of all rows and columns in the table).
Step 2: Probability Formula.
The probability of a specific event occurring is:
Here:
Step 3: Perform the Calculation.
Convert this to a percentage:
Final Answer:
The probability is 27.6%.
Let me know if you would like further explanation or have any follow-up questions. 😊
5 Related Questions:
- How do you calculate the probability of multiple events using conditional probabilities?
- What is the difference between independent and dependent events in probability?
- How do you calculate complementary probabilities (e.g., if the driver is intoxicated)?
- How can this type of table be used to determine if two events are independent?
- How do you round percentages to a specified decimal place?
Tip:
When working with percentages, always ensure the decimal point placement is correct and double-check your rounding method!
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Math Problem Analysis
Mathematical Concepts
Probability
Conditional Probability
Formulas
P = Favorable Cases / Total Cases
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 7-9
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