In a certain city, 5% of all drivers have expired licenses and 10% 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?

Alex Insurance Company historically shows that 10% of their insured received at least one traffic ticket last year.  This year, considering no changes, a sample of 200 drivers was chosen.  What is the probability that less than 34 policyholders will receive at least one traffic ticket this year?

Suppose 50% of the students in school have a part time job. Among those who have a partime job, 20% of them need to work at least 20 hours per week. If you randomly select a student in school, what’s the probability that the student does not work or works less than 20 hours per week?

In the 2017 Seattle mayoral election, Ed Murray received 53.0% of the votes, Mike McGinn received 46.5% of the votes, and write-in candidates received the rest of the votes. Suppose we examine votes from randomly chosen people who voted in this election.   What is the probability that the first vote we examine is for Mike McGinn or for a write-in candidate?   Suppose we examine four randomly chosen votes. What is the probability that all four of the votes are for Ed Murray?   Suppose we examine four randomly chosen votes. What is the probability that none of the votes we examine is for Ed Murray?   Suppose we examine four randomly chosen votes. What is the probability that at least one of the votes we examine is for Ed Murray?

Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees were involved in some type of exercise.   What is the probability that an employee will have a cold next year? Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year? What is the probability that an employee who is not involved in an exercise program will get a cold next year? Are exercising and getting a cold independent events? Explain your answer."

In a study it was discovered that 27​% of the paintings in a certain art gallery are not original​ paintings, but fakes. A collector in 15​%of the cases makes a mistake in judging if the painting is authentic or a fake.   If she buys a piece thinking that it is an​ original, what is the probability that it is​ not?

Suppose that about 55% of the people who are murdered actually knew the murderer. Suppose that a detective file in Boston has 51 current unsolved murders. What is the probability that fewer than 21 victims knew their murderer?

Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida drivers are involved in an accident, what is the probability that more than one of them are uninsured?

It is found that a certain pharmaceutical cures symptoms in 35% adults. If 500 people take the pharmaceutical, what is the probability 200 or more adults have their symptoms cured? What is the expected number of people with symptoms cured?