Exam 9: Introduction to Probability and Statistics

If a die is rolled and then a coin is tossed,and the results are observed,determine the sample space of this experiment.

If two cards are randomly drawn,without replacement,from a standard deck of 52 cards,find the probability that the second card is not a jack or queen,given that the first card is a jack or queen.

An urn contains three red and two green marbles,and a second urn contains two red and two green marbles.An urn is selected at random and a marble is randomly drawn from it.The marble is green.What is the probability that it came from the first urn?

An urn contains two red and three green marbles.Two marbles are randomly drawn in succession without replacement.Determine the probability that (a)the first marble is red and the second is green; (b)both marbles are red.

Two fair dice are rolled twice.Find the probability of getting a total of 6 on one of the rolls and a total of 11 on the other one.

If S = is a sample space of an experiment with events E = And Then E ∩ F' =

A manufacturer of widgets has three assembly lines: A,B,and C.The percentages of total daily output that are produced by the lines are 30%,40%,and 30%,respectively.The percentage of defective units produced by the lines are estimated to be 2%,3%,and 2%,respectively.If a widget is randomly selected from a day's production and it is defective,what is the probability that it came from assembly line A?

How many distinguishable arrangements of all letters in the word MISSISSIPPI are possible?

In a 20-question examination,each question is worth 5 points and is graded right or wrong.Considering the individual questions,in how many ways can a student score 85 points or higher?

A coin is tossed three times.Determine (a)the event that exactly two heads occur; (b)the event that at least two heads occur; (c)the event that no head occurs.

At a restaurant a complete dinner consists of a salad,an entree,a dessert,and a beverage.For the salad,the choices are tossed green salad,gelatin salad,or cottage cheese; for the entree,the choices are chicken,roast beef,or flounder; for the dessert,the choices are pudding,pie,cake,or ice cream; for the beverage,the choices are coffee,tea,or milk.How many complete dinners are possible?

In a survey of newspaper readers,it was found that 40% like the Gazette,25% liked the Bulletin,and 10% liked both.If a person in the survey is randomly selected,find the probability that the person liked the Bulletin,given that he or she liked the Gazette.

A youth sports team plays seven games.In how many ways can the outcomes of the games result in five wins and two losses?

A grocery store displays 100 green peppers in 10 rows of 10 each.It is quite likely that customer A's choice of the 2 best peppers to buy would differ from customer B's choice,even if the peppers were more or less identical.In how many ways (sample points)could the first customer to see the green pepper array choose 2 peppers to buy?

An urn contains ten marbles numbered 1 through 10.If a marble is randomly selected from the urn,determine the probability that it shows a number greater than or equal to 4.

If three cards are randomly drawn without replacement from a standard deck of 52 cards,find the probability that all are queens.

The plane arrives late in L.A.but left Denver as scheduled.

In how many ways can a basketball coach assign the five different positions to her eight-member team if all members are equally qualified at all positions?

A manufacturer places a four-symbol code on each unit of a product.The first three symbols are numbers with the first not 0,and the fourth symbol is a letter other than o.How many codes are possible?

In a track race of 8 contestants,how many ways can the 1st,2nd,and 3rd places finishes happen?