statistics emergency help

#1
On a recent holiday evening, a sample of five hundred drivers was stopped by the police. Three hundred were under thirty years of age. A total of two hundred and fifty were under the influence of alcohol. Of the drivers under thirty years of age, two hundred were under the influence of alcohol.

Let A be the event that a driver is under the influence of alcohol.
Let Y be the event that a driver is less than 30 years old.

· Determine P(A) and P(Y)
· What is the probability that a driver is under the influence of alcohol?
· Given that a driver is not under thirty, what is the probability that he/she is under the influence of alcohol?
· What is the probability that a driver is under the influence of alcohol if we know the driver is under 30?
· Are A and Y mutually exclusive events? Verify with a calculation.
· Are A and Y independent events? Verify with a calculation.