Learning Materials
Features
Discover
Chapter 2: Q. 2.49 (page 51)
A group of men and women is randomly divided into groups of size each. What is the probability that both groups will have the same number of men?
the probability that both groups will have the same number of men is
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
Consider an experiment that consists of determining the type of job鈥攅ither blue collar or white collar鈥� and the political affiliation鈥擱epublican, Democratic, or Independent鈥攐f the 15 members of an adult soccer team.
How many outcomes are
(a) in the sample space?
(b) in the event that at least one of the team members is a blue-collar worker?
(c) in the event that none of the team members considers himself or herself an Independent?
An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The
classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 in the French class, and 16 in the German class. There are 12 students who are in both Spanish and French, 4 who are in both Spanish and German, and 6 who are in both French and German. In addition, there are 2 students taking all 3 classes.
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
(b) If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
(c) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
Use Venn diagrams
to simplify the expressions ;
to prove DeMorgan鈥檚 laws for eventsand. [That is, prove, and
The chess clubs of two schools consist of, respectively, players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that
(a) Rebecca and Elise will be paired?
(b) Rebecca and Elise will be chosen to represent their schools but will not play each other?
(c) either Rebecca or Elise will be chosen to represent her school?
A small community organization consists of families, which have one child, have two children, have three children, have four children, and have five children.
If one of these families is chosen at random, what is the probability it has children,
If one of the children is randomly chosen, what is the probability that the child comes from a family having children,
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine