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Magazine Chapter 5: Q 2.2. (page 305)
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To simulate whether a shot hits or misses, you would assign random digits as follows:
(a) One digit simulates one shot; and are a hit; other digits are a miss.
(b) One digit simulates one shot; odd digits are a hit and even digits are a miss.
(c) Two digits simulate one shot; to are a hit and to are a miss.
(d) Two digits simulate one shot; to are a hit and to are a miss.
(e) Two digits simulate one shot; to are a hit and to are a miss.
Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: are currently undergraduate students in business; are undergraduate students in other fields of study; are
college graduates who are currently employed, and are college graduates who are not employed. Choose a customer at random.
(a) What鈥檚 the probability that the customer is currently an undergraduate? Which rule of probability did you use to find the answer?
(b) What鈥檚 the probability that the customer is not an undergraduate business student? Which rule of probability did you use to find the answer?
A Titanic disaster In the luxury liner Titanic, on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who lived and who died, by class of travel. Suppose we choose an adult passenger at random.
(a) Given that the person selected was in first class, what鈥檚 the probability that he or she survived?
(b) If the person selected survived, what鈥檚 the probability that he or she was a third-class passenger?
Rolling dice Suppose you roll two fair, six-sided dice鈥攐ne red and one green. Are the events 鈥渟um is 鈥� and 鈥済reen die shows a 鈥� independent? Justify
your answer.
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?
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