Suppose that in a baseball World Series (in which the winner is the first team to win four games) the National League champion leads the American League champion three games to two. Construct a tree diagram to show the number of ways in which these teams may win or lose the remaining game or games.
Answer to relevant QuestionsWith reference to Exercise 1.1, suppose that there is a third step, and if the first step is made in the ith way and the second step in the jth way, the third step can be made in n3ij ways. (a) Use a tree diagram to verify ...In Example 1.4 we showed that a true–false test consisting of 20 questions can be marked in 1,048,576 different ways. In how many ways can each question be marked true or false so that (a) 7 are right and 13 are wrong; (b) ...Using Stirling’s formula (see Exercise 1.6) to approximate 2n! and n!, show that 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 ...Prove by induction that For Any finite sequence of events E1, E2, ∪ . ., And En.
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