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Chapter 2: Q. 2.37 (page 51)
An instructor gives her class a set of problems with the information that the final exam will consist of a random selection of them. If a student has figured out how to do the problems, what is the probability that he or she will answer correctly
all problems?
at leastof the problems?
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A basketball team consists of 6 frontcourt and 4 backcourt players. If players are divided into roommates at random,what is the probability that there will be exactly two roommate pairs made up of backcourt and a frontcourt player?
Consider the following technique for shuffling a deck of n cards: For any initial ordering of the cards, go through the deck one card at a time, and at each card, flip a fair coin. If the coin comes up heads, then leave the card where it is; if the coin comes up tails, then move that card to the end of the deck. After the coin has been flipped n times, say that one round has been completed. For instance, if the initial ordering isthen if the successive flips result in the outcome then the ordering at the end of the round is Assuming that all possible outcomes of the sequence of coin flips are equally likely, what is the probability that the ordering after one round is the same as the initial ordering?
Balls are randomly removed from an urn initially containing red and blue balls. What is the probability that all of the red balls are removed before all of the blue ones have been removed?
An urn contains white and black balls. If a random sample of size is chosen, what is the probability that it contains exactly white balls?
In a state lottery, a player must choose the numbers from 1 to. The lottery commission then performs an experiment that selects these numbers. Assuming that the choice of the lottery commission is equally likely to be any of thecombinations, what is the probability that a player has
allof the numbers selected by the lottery commission?
of the numbers selected by the lottery commission?
at least of the numbers selected by the lottery
commission?
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