Math Problem Statement
The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents.
Pedestrian Deaths Driver Intoxicated? Pedestrian Intoxicated? Yes No Yes 52 85 No 231 618 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.
Solution
We are asked to find the probability that the pedestrian was not intoxicated but the driver was intoxicated.
From the table:
-
The number of cases where the driver was intoxicated and the pedestrian was not intoxicated is 85.
-
The total number of pedestrian deaths is .
The probability is the ratio of favorable cases (driver intoxicated, pedestrian not intoxicated) to the total cases:
Let's calculate this ratio.
So, the probability is approximately 0.0862.
Would you like further details on this or have any other questions?
Here are some related questions:
- What is the probability that both the driver and pedestrian were intoxicated?
- What is the probability that neither the driver nor the pedestrian was intoxicated?
- How would the probability change if there were more intoxicated drivers?
- What is the total probability of pedestrian intoxication?
- How do probabilities change with increasing or decreasing sample sizes?
Tip: Always ensure the total number of outcomes matches the data provided to avoid calculation errors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Conditional Probability
Formulas
P(event) = favorable outcomes / total outcomes
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 9-12
Related Recommendation
Probability Calculation of Pedestrian Intoxication
Probability of Driver Not Intoxicated in Pedestrian Deaths
Probability of Selecting Two Intoxicated Pedestrians in Automobile Accidents
Calculate Probability of Pedestrian and Driver Intoxication in Auto Accidents
Calculating Probability: Driver Not Intoxicated, Pedestrian Intoxicated