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The data for passenger cars involved in a head-on collision is provided.

The formula for the probability of any arbitrary event A is defined as follows:

$P\left(A\right)=\frac{\text{Number}\text{of}\text{favorable}\text{outcomes}}{\text{Total}\text{number}\text{of}\text{outcomes}}$

In the case of conditional probability, the probability of an event A, given that event B has taken place, is the ratio of two values, probability for both A and B, over the probability of event B.

Mathematically,

$P\left(A\left|B\right.\right)=\frac{P\left(A\text{and}B\right)}{P\left(B\right)}$

Add the values in rows and columns to obtain the totals.

Define F as the event that a randomly selected driver uses a seatbelt.

Define E as the event that a randomly selected driver was not killed.

The favorable number of drivers who use a seatbelt is 10660.

The favorable number of drivers who are not killed is 10045.

The favorable number of drivers who use a seatbelt and were not killed is 7005.

The total number of drivers surveyed is 18102.

Using the values, you get:

$$\begin{gathered} P\left(E\text{and}F\right)=\frac{7005}{18102} \\ P\left(F\right)=\frac{10660}{18102} \end{gathered}$$

The probability that a randomly selected driver was not killed, given that he uses a seatbelt, is:

$$\begin{gathered} P\left(E\left|F\right.\right)=\frac{P\left(EandF\right)}{P\left(F\right)} \\ =\frac{\frac{7005}{18102}}{\frac{10660}{18102}} \\ =\frac{7005}{10660} \\ =0.657 \end{gathered}$$

Thus, the probability that the randomly selected driver was not killed, given that he uses a seatbelt, is 0.657.