# Question: A set of 1000 cards numbered 1 through 1000 is

A set of 1000 cards numbered 1 through 1000 is randomly distributed among 1000 people with each receiving one card. Compute the expected number of cards that are given to people whose age matches the number on the card.

## Relevant Questions

In Example 2h, say that i and j, i ≠ j, form a matched pair if i chooses the hat belonging to j and j chooses the hat belonging to i. Find the expected number of matched pairs. In an urn containing n balls, the ith ball has weight W(i), i = 1, . . . , n. The balls are removed without replacement, one at a time, according to the following rule: At each selection, the probability that a given ball in ...The k-of-r-out-of-n circular reliability system, k ≤ r ≤ n, consists of n components that are arranged in a circular fashion. Each component is either functional or failed, and the system functions if there is no block ...Cards from an ordinary deck are turned face up one at a time. Compute the expected number of cards that need to be turned face up in order to obtain (a) 2 aces; (b) 5 spades; (c) All 13 hearts. Let X1, X2, . . . ,Xn be independent random variables having an unknown continuous distribution function F, and let Y1,Y2, . . . ,Ym be independent random variables having an unknown continuous distribution function G. Now ...Post your question