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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 customer visiting the suit department of a certain store will purchase a suit with a probability of, a shirt with a probability of, and a tie with a probability. The customer will purchase both a suit and a shirt with probabilityrole="math" localid="1649314729679" , both a suit and a tie with probability, and both a shirt and a tie with probability. A customer will purchase allitems with a probability of. What is the probability that a customer purchases
none of these items?
exactlyof these items?
A -personal basketball team consists of a guard, a forward, and a center.
If a person is chosen at random from each of three different such teams, what is the probability of selecting a complete team?
What is the probability that all players selected play the same position?
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?
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?
Use Venn diagrams
to simplify the expressions ;
to prove DeMorgan’s laws for eventsand. [That is, prove, and
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