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Chapter 2: Q. 2.16 (page 49)
Poker dice are played by simultaneously rolling dice. Show that
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If people, including and, are randomly arranged in a line, what is the probability that and are next to each other?
What would the probability be if the people were randomly arranged in a circle?
Consider an experiment that consists of determining the type of job—either blue collar or white collar— and the political affiliation—Republican, Democratic, or Independent—of 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?
If rooks (castles) are randomly placed on a chessboard, compute the probability that none of the rooks can capture any of the others. That is, compute the probability that no row or file contains more than one rook.
If it is assumed that all poker hands are equally likely, what is the probability of being dealt
a flush? (A hand is said to be a flush if all cards are of the same suit.)
one pair? (This occurs when the cards have denominations where andare all distinct.)
two pairs? (This occurs when the cards have denominations where and are all distinct.)
three of a kind? (This occurs when the cards have denominations where and are all distinct.)
four of a kind? (This occurs when the cards have denominations)
and
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