In a certain city,5 percent of all drivers have expired licenses and 10 percent have an unpaid parking ticket.If these events are independent,what is the probability that a driver has both an expired license and an unpaid parking ticket?
A)0.010
B)0.005
C)0.001
D)Cannot be determined

Question

Quizplus · Accepted Answer

If the events are independent, then we can multiply their probabilities to find the probability of both events happening together.

Let D be the event of having an expired license and P be the event of having an unpaid parking ticket.

P(D) = 0.05 (given) 
P(P) = 0.10 (given)

Since the events are independent: 
P(D and P) = P(D) * P(P)

P(D and P) = 0.05 * 0.10

P(D and P) = 0.005 or 0.5%

Therefore, the probability of a driver having both an expired license and an unpaid parking ticket is 0.005 or 0.5%.

The best choice is B.

In a Certain City,5 Percent of All Drivers Have Expired