Exam 14: Probability Rules

A study conducted at a certain college shows that 61% of the school's graduates find a job in their chosen field within a year after graduation.Find the probability that among 6 randomly selected graduates,at least one finds a job in his or her chosen field within a year of graduating.

An online poll asked people how likely they were to see a new movie that was coming out in the summer.There were 1245 responses.Here's how they responded: Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample of 1245 people,what is the probability that neither is a likely viewer?

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes What is the probability that a Conservative supporter opposes raising taxes?

According to a survey conducted by an environmental organization,the probability that an eligible voter cares strongly about environmental issues is 0.60,the probability that an eligible voter votes regularly is 0.48 and the probability that an eligible voter both votes regularly and care strongly about environmental issues is 0.270.What is the probability that someone who cares strongly about environmental issues votes regularly?

You are dealt a hand of three cards,one at a time.Find the probability that you get no black cards.

You are dealt a hand of three cards,one at a time.Find the probability that you have at least one face card.

If you draw a card at random from a well-shuffled deck,is getting a club independent of getting a queen? Explain.

A company is conducting a sweepstakes,and ships two boxes of game pieces to a particular store.4% of the contents of box A are winners,while 6% of the contents of box B are winners.Box A contains 36% of the total tickets.If the contents of both boxes are mixed in a drawer and a ticket is chosen at random,what is the probability it is a winner?

Suppose that the Canadian Red Cross says that about 45% of the Canadian population has Type O blood,40% Type A,11% Type B,and the rest Type AB.Among six donors,what is the probability that no one is Type A?

The table below describes the smoking habits of a group of asthma sufferers. Is heavy smoking independent of gender?

An auto insurance company was interested in investigating accident rates for drivers in different age groups.The following table was based on a random sample of drivers and classifies drivers by age group and accident rate. What is the probability that a person who had no accidents in the past three years is over 45?

Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 74% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 32%.Each household,of course,is independent of the others.What is the probability of failing to contact a household or of contacting the household but not getting them to agree to the interview?

You roll a fair die four times.What is the probability that you roll at least one 6?

4.5% of a population are infected with a certain disease.There is a test for the disease,however the test is not completely accurate.94% of those who have the disease will test positive.However 3.7% of those who do not have the disease will also test positive (false positives).What is the probability that any given person will test positive? Round your answer to three decimal places if necessary.

In flipping a coin twice,the events of getting heads on the first flip and heads on the second flip

Among the contestants in a competition are 50 women and 29 men.If 5 winners are randomly selected,what is the probability that they are all men? Round your answer to five decimal places.

The sale bin in a clothing store contains an assortment of t-shirts in different sizes.There are 6 small,8 medium,and 5 large shirts.Alan is looking for a large shirt.He starts grabbing shirts one at a time and checking the size.After he checks each shirt,he leaves it outside the bin.What is the probability that at least one of the first four shirts he checks is a large?

In a language program at a university,14% of students speak Spanish,7% speak French,and 4% speak both languages.A student is chosen at random from the college What is the probability that a student who speaks Spanish also speaks French?

In a business class,10% of the students have never taken a statistics class,35% have taken only one semester of statistics,and the rest have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course.What is the probability that at least one of your two group mates has had more than one semester of statistics?

In driving a car,the events of driving over the speed limit and getting a speeding ticket.