Learning Materials
Features
Discover
Chapter 5: Q 2.2. (page 317)
Shuffle a standard deck of cards, and turn over the top two cards, one at a time. Define events : first card is a heart, and : second card is a heart.
No, events are independent.
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
In government data, a household consists of all occupants of a dwelling unit. Choose an American household at random and count the number of
people it contains. Here is the assignment of probabilities for your outcome:
The probability of finding people in a household is the same as the probability of finding people. These probabilities are marked ??? in the table of the distribution. The probability that a household contains 3 people must be
(a) (b) (c) (d) (e) between and, and we can say no more. 
Foreign-language study Choose a student in grades to at random and ask if he or she is studying a language other than English. Here is the distribution of results:
(a) What鈥檚 the probability that the student is studying a language other than English?
(b) What is the conditional probability that a student is studying Spanish given that he or she is studying some language other than English?
Get rich Refer to Exercise 63.
(a) Find P(鈥渁 good chance鈥� | female).
(b) Find P(鈥渁 good chance鈥�).
(c) Use your answers to (a) and (b) to determine whether the events 鈥渁 good chance鈥� and 鈥渇emale鈥� are
independent. Explain your reasoning.
Texas hold 鈥檈m In popular Texas hold 鈥檈m variety of poker, players make their best five-card poker hand by combining the two cards they are dealt with
three of five cards available to all players. You read in a book on poker that if you hold a pair (two cards of the same rank) in your hand, the probability of getting four of a kind is
(a) Explain what this probability means.
(b) Why doesn鈥檛 this probability say that if you play
1000 such hands, exactly will be four of a kind?
An unenlightened gambler
(a) A gambler knows that red and black are equally likely to occur on each spin of a roulette wheel. He observes five consecutive reds occur and bets
heavily on black at the next spin. Asked why he explains that black is 鈥渄ue by the law of averages.鈥� Explain to the gambler what is wrong with this reasoning.
(b) After hearing you explain why red and black are still equally likely after five reds on the roulette wheel, the gambler moves to a poker game. He is dealt five straight red cards. He remembers what you said and assumes that the next card dealt in the same hand is equally likely to be red or black. Is the gambler right or wrong, and why?
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