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Chapter 2: Q. 2.42 (page 51)
Two dice are thrown times in succession. Compute
the probability that a double appears at least once. How large need be to make this probability at least?
Therefore,
to make this probability at least.
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A -card hand is dealt from a well-shuffled deck of playing cards. What is the probability that the hand contains at least one card from each of the four suits?
Two balls are chosen randomly from an urn containingwhite, black, and orange balls. Suppose that we win for each black ball selected and we lose for each white ball selected. Let denote our winnings. What are the possible values of , and what are the probabilities associated with each value?
An ordinary deck ofcards is shuffled. What is the probability that the top four cards have
(a) different denominations?
(b) different suits?
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?
Suppose that A and B are mutually exclusive events for which . What is the probability that
(a) either A or B occurs?
(b) A occurs but B does not?
(c) both A and B occur?
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