Question

The two-way frequency table shows data on accidents in the last year for drivers who took a driver safety course. Given that a driver took the safety course, what is the chance that the driver still got in an accident? Round your answer to the nearest whole number.

Answer 1

Given that the driver had taken the safety course, The answer would be 22

Answer 2

22.4%

Explanation:

We have the events,

A = The driver got in an accident

B = The driver took the safety test

Now, it is required to find the conditional probability P(A|B).

Since,
`P(A|B)=(P(A\bigcap B))/(P(B))`

From the table, we have that,

`P(A\bigcap B)=28\\\\P(B)=125`

Thus, we get,

`P(A|B)=(28)/(125)`

i.e. P(A|B) = 0.224

i.e. P(A|B) = 22.4%

Hence, the probability that the driver got in an accident even though the driver took the safety test is 22.4%