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To solve this problem, we need to find the probability that four randomly selected high school drivers all drove when drinking alcohol. 

We can break down the solution step by step:

### 1. **Total Number of Drivers**
The total number of high school drivers surveyed is the sum of all the values in the table:

\[
\text{Total drivers} = (749 + 3233) + (131 + 4331) = 3982 + 4462 = 8444
\]

### 2. **Drivers Who Drove When Drinking Alcohol**
The total number of drivers who drove when drinking alcohol is the sum of those who texted while driving and those who did not:

\[
\text{Drove when drinking} = 749 + 131 = 880
\]

### 3. **Probability of One Driver Who Drove When Drinking Alcohol**
The probability that a single randomly selected driver drove when drinking alcohol is:

\[
P(\text{one driver}) = \frac{880}{8444}
\]

### 4. **Probability of Four Drivers Who All Drove When Drinking Alcohol**
Since we are selecting 4 drivers, we need to find the probability that **all four** of them drove when drinking alcohol. If the selections are made without replacement (which is typical for such problems), the probability for all four is given by:

\[
P(\text{four drivers}) = \frac{880}{8444} \times \frac{879}{8443} \times \frac{878}{8442} \times \frac{877}{8441}
\]

Now, let's compute the product:

\[
P(\text{four drivers}) = \left( \frac{880}{8444} \right) \times \left( \frac{879}{8443} \right) \times \left( \frac{878}{8442} \right) \times \left( \frac{877}{8441} \right)
\]

### 5. **Result**
Multiplying these together:

\[
P(\text{four drivers}) = 0.010824
\]

So, the probability that all four randomly selected high school drivers drove when drinking alcohol is approximately **0.010824**, rounded to six decimal places.

---

Would you like further explanation on any step, or have any other questions?

### 5 Related Questions:
1. What is the probability that none of the four selected drivers drove when drinking alcohol?
2. How would the probability change if we selected 3 drivers instead of 4?
3. What if we wanted to find the probability that at least one of the selected drivers drove when drinking alcohol?
4. How do probabilities change if we allow replacement of the drivers?
5. Can we generalize this probability for any number \(n\) of drivers?

#### Tip:
In problems involving probability without replacement, the denominator decreases with each subsequent selection.

The probability that four randomly selected high school drivers all drove when drinking alcohol.

This problem asks to find the probability that four randomly selected high school drivers all drove when drinking alcohol, using data from a survey. Involves probability concepts and sampling without replacement. Suitable for high school students.

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