Answer:
Explanation:
To calculate the probability of a person driving while intoxicated or having a car accident, we need to use the formula for the union of events:
P(A or B) = P(A) + P(B) - P(A and B)
where A and B are the events of driving while intoxicated and having a car accident, respectively.
Using the probabilities given in the problem, we can calculate:
P(intoxicated) = 0.32
P(accident) = 0.09
P(accident | intoxicated) = 0.15
To find P(intoxicated or accident), we first need to find P(intoxicated and accident). We can use the formula for the conditional probability as follows:
P(intoxicated and accident) = P(accident | intoxicated) x P(intoxicated)
P(intoxicated and accident) = 0.15 x 0.32 = 0.048
Now we can use the formula for the union of events:
P(intoxicated or accident) = P(intoxicated) + P(accident) - P(intoxicated and accident)
P(intoxicated or accident) = 0.32 + 0.09 - 0.048
P(intoxicated or accident) = 0.362
Therefore, the probability of a person driving while intoxicated or having a car accident is 0.362, or approximately 36.2%.