Math Problem Statement

If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated.

Solution

The question asks for the probability that the pedestrian was not intoxicated, given the data provided in the table. Here’s how we can calculate it:

Step-by-Step Process:

  1. Total pedestrian deaths: We are told that the total number of pedestrian deaths is 979.
  2. Pedestrian not intoxicated: According to the table, the number of pedestrian deaths where the pedestrian was not intoxicated is 73+611=68473 + 611 = 684.
  3. Probability: The probability that a randomly selected pedestrian was not intoxicated is calculated by dividing the number of deaths where the pedestrian was not intoxicated by the total number of pedestrian deaths.

P(Pedestrian not intoxicated)=684979P(\text{Pedestrian not intoxicated}) = \frac{684}{979}

Let me calculate that.

P(Pedestrian not intoxicated)0.6987P(\text{Pedestrian not intoxicated}) \approx 0.6987

Final Answer:

The probability that the pedestrian was not intoxicated is approximately 0.6987 (rounded to 4 decimal places).

Would you like more details on any part of the process?


Here are some related questions for further practice:

  1. What is the probability that both the driver and pedestrian were intoxicated?
  2. What is the probability that neither the driver nor the pedestrian was intoxicated?
  3. What is the probability that only the driver was intoxicated?
  4. If the driver was intoxicated, what is the probability that the pedestrian was also intoxicated?
  5. What is the total probability that the driver was intoxicated?

Tip: Always double-check whether you're being asked for probabilities of independent events or conditional probabilities!

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics

Formulas

P(A) = (Number of favorable outcomes) / (Total number of outcomes)

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 9-12