Tom Leighton and Ankur Moitra Problem Set 10 Solutions
نویسنده
چکیده
Problem 1. [20 points] You are organizing a neighborhood census and instruct your census takers to knock on doors and note the sex of any child that answers the knock. Assume that there are two children in a household, that children are equally likely to be girls and boys, and that girls and boys are equally likely to open the door. A sample space for this experiment has outcomes that are triples whose first element is either B or G for the sex of the elder child, likewise for the second element and the sex of the younger child, and whose third coordinate is E or Y indicating whether the elder child or younger child opened the door. For example, (B, G, Y) is the outcome that the elder child is a boy, the younger child is a girl, and the girl opened the door.
منابع مشابه
On Entropy and Extensions of Posets
A vast body of literature in combinatorics and computer science aims at understanding the structural properties of a poset P implied by placing certain marginal constraints on the uniform distribution over linear extensions of P . These questions are typically concerned with whether or not P must be a total order (or have small width). Here, we instead consider whether or not these marginal con...
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