Exam 14: Probability Rules

The date is February 29.What is the fewest number of people that must be gathered together for it to be more than likely that at least one of them has a birthday today (that is,for the probability to be greater than 0.50)?

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 voter who favours raising taxes is an NDP supporter?

In one town in British Columbia,only 27% of days are sunny.A company's records indicate that on sunny days 1.8% of employees will call in sick.When it is not sunny,1.0% of employees will call in sick.Is calling in sick independent of sunshine? Explain.

Melissa is looking for the perfect man.She claims that at her college 34% of men are smart,30% are funny,and 19% are both smart and funny.If Melissa is right,are being smart and being funny independent events?

The table shows the careers of a group of retired people and their ages at retirement. What is the probability that a person who retired between the ages of 56 and 60 was a college professor?

In the small town,a certain type of Blu-ray player is sold at just two stores.33% of the sales are from store A and 67% of the sales are from store B.2.8% of the Blu-ray players sold at store A are defective while 3.7% of the Blu-ray players sold at store B are defective.If Kate receives one of these Blu-ray players as a gift and finds that it is defective,what is the probability that it came from store A?

Applicants for a job first submit a written application.Based on the written applications,37% of the applicants are invited for a first interview.Of those that have a first interview,58% are rejected after the interview.What is the probability that a randomly selected applicant receives a first interview and is rejected after the interview?

You are dealt a hand of three cards,one at a time.Find the probability that your cards are all face cards.

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

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

A study conducted at a college shows that 70% of the school's graduates find a job in their chosen field within a year after graduation.Find the probability that 7 randomly selected graduates all find jobs in their 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 1235 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 1235 people,what is the probability that one is a likely viewer and one isn't?

If a single fair die is rolled,find the probability of a 5 given that the number rolled is odd.

You are dealt a hand of three cards,one at a time.Find the probability that your cards are all aces.Round your answer to five decimal places.

A bag contains 10 red chips and 9 blue chips.Two chips are selected randomly without replacement from the bag.What is the probability that the two chips are the same color?

Shameel has a flight to catch on Monday morning.His father will give him a ride to the airport.If it rains,the traffic will be bad and the probability that he will miss his flight is 0.05.If it doesn't rain,the probability that he will miss his flight is 0.01.The probability that it will rain on Monday is 0.28.Suppose that Shameel misses his flight.What is the probability that it was raining?

The table shows the political affiliation of voters in one city and their positions on raising taxes. Raising Taxes Are party affiliation and position on raising taxes independent? Explain.

The table shows the popular votes cast in the U.S.A in the 1984 presidential election classified by region and political party.Data are in thousands,rounded to the nearest thousand. Find the probability that a voter who lives in the Northeast voted Democrat.

A high school offers these statistics: 27% of incoming students come from single-parent homes 45% of incoming students come from single-parent homes eventually go on to get a college education. 59% of incoming students from two-parent homes eventually go on to get a college education. Is there any evidence that an incoming student's chances to eventually get a college education depend on whether they come from a single parent or two parent home? Explain.

You draw a card at random from a standard deck of 52 cards.Find the probability that the card is a diamond given that it is a queen.