Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 5.4, Problem 6E
Program Plan Intro
To determine the expected number of empty bins and expected number of bins with exactly one ball .
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This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos.
Suppose that 931 tennis players want to play an elimination tournament. That means: they pair up, at random, for each round; if the number of players before the round begins is odd, one of them, chosen at
random, sits out that round. The winners of each round, and the odd one who sat it out (if there was an odd one), play in the next round, till, finally, there is only one winner, the champion. What is the total
number of matches to be played altogether, in all the rounds of the tournament?
Your answer:
Hint: This is much simpler than you think. When you see the answer you will say "of course".
I have a hand of five cards, n of which are aces. An observation is: I shuffle the cards, pick one at random, and show it to you. You are estimating n by counting the total number of aces (let's denote it k) in m observations, and then computing 5k m You may assume that 1
A and B stand in a line at random with 10 other people. What is the
probability that there are exactly 3 people between A and B?
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Introduction to Algorithms
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