Use the data in the following​ table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table.

**Drove When Drinking**​ Alcohol?**** 

**Yes**

**No**

**Texted While Driving**

746746

30363036

**No Texting While Driving**

192192

45804580

If one of the high school drivers is randomly​ selected, find the probability that the selected driver texted while driving and drove when drinking alcohol.

Question content area bottom

Part 1

The probability that one randomly selected high school driver texted while driving and drove when drinking alcohol is 

enter your response here. 

​(Round to three decimal places as​ needed.)

To find the probability that a randomly selected high school driver both **texted while driving** and **drove when drinking alcohol**, we can use the following formula for probability:

\[
P(\text{Texted and Drove when Drinking}) = \frac{\text{Number of drivers who texted while driving and drove when drinking alcohol}}{\text{Total number of drivers}}
\]

### Step 1: Identify the number of drivers who texted while driving and drove when drinking alcohol
From the table:
- The number of drivers who **texted while driving and drove when drinking alcohol** is **746**.

### Step 2: Calculate the total number of drivers
The total number of drivers is the sum of all the values in the table:

\[
746 + 3036 + 192 + 4580 = 8554
\]

### Step 3: Calculate the probability
The probability is:

\[
P(\text{Texted and Drove when Drinking}) = \frac{746}{8554}
\]

Now, let's calculate this value and round it to three decimal places.The probability that a randomly selected high school driver both texted while driving and drove when drinking alcohol is approximately **0.087** (rounded to three decimal places).

Would you like more details or have any questions?

Here are 5 related questions to expand on this information:

1. What is the probability that a driver did not text while driving but drove when drinking alcohol?
2. What is the probability that a driver did not drive when drinking alcohol?
3. How can you find the probability that a driver either texted while driving or drove when drinking alcohol?
4. What is the probability that a driver texted while driving but did not drink alcohol?
5. How can we calculate the complement of the probability found?

**Tip:** Probabilities are always between 0 and 1, where 1 indicates certainty and 0 indicates impossibility.

Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table.

Drove When Drinking Alcohol?

Yes: 746
No: 3036

Texted While Driving

Yes: 746
No: 3036

No Texting While Driving

Yes: 192
No: 4580

If one of the high school drivers is randomly selected, find the probability that the selected driver texted while driving and drove when drinking alcohol.

Calculate the probability that a high school driver both texted while driving and drove when drinking alcohol using real survey data. Learn how to apply basic probability formulas to analyze the likelihood of specific events occurring. Suitable for high school students studying probability and statistics.

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