A shipment of 10 television sets includes three that are defective. In how many ways can a hotel purchase four of these sets and receive at least two of the defective sets?
Answer to relevant QuestionsIn a two-team basketball play-off, the winner is the first team to win m games. (a) Counting separately the number of play-offs requiring m,m+1,..., and 2m−1 games, show that the total number of different outcomes ...Use Venn diagrams to verify that (a) (A ∪ B). C is the same event as A ∪ (B ∪ C); (b) A ∩(B ∪ C) is the same event as (A ∩ B) ∪ (A ∩ C); (c) A ∪ (B ∩ C) is the same event as (A ∪ B) ∩ (A ∪ C). With reference to Example 2.25, suppose that we discover later that the job was completed on time. What is the probability that there had been a strike? In exercise The completion of a construction job may be delayed ...Duplicate the method of proof used in Exercise 2.12 to show that P(A ∪ B ∪ C ∪ D) = P(A) + P(B) + P(C) + P(D) - P(A ∩ B) - P(A ∩ C) - P(A ∩ D) - P(B ∩ C) - P(B ∩ D) - P(C ∩ D) + P(A ∩ B ∩ C) + P(A ∩ B ...Show that if events A And B are independent, then (a) Events A' And B are independent; (b) Events A' And B' are independent.
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