first course in probability

After I first entered this question, I had no place to submit it. for the first time I did the SGU question, I had to submit n boxes on HUSTOJ, which contained gifts. m people, each person took them, after the gift is obtained, the box is put back. The expectation of choosing the number of gifts is assumed that the equation dp [I] is the probability that the first person will receive the gift, however, the state transition equation does not know what

Hash is a sharp knife, processing a huge amount of data often used, we may often use hash, but some of the characteristics of the hash you have thought about, understand. We can use our knowledge of probabilities and expectations to analyze some interesting questions in the hash, such as: The average number of items on each bucket Average number of lookups Average number of conflicts Average number of empty barrels Expect the number of items that have at least one item p

SGU495 Kids and Prizes probability DP, expected formula, sgu495prizes Question After this question is first entered, there is no place to submit it. The first SGU question can only be submitted on HUSTOJ. There are n boxes in which there are gifts. m people, each person takes them. After they take the gift, they take it out and put it back, hoping to select the number of gifts. In fact, at the beginning, we assume that the equation dp [I] is the

Check the difficulty of problems Time limit:2000 ms Memory limit:65536 K Total submissions:3191 Accepted:1416 Description Organizing a programming contest is not an easy job. To avoid making the problems too difficult, the organizer usually failed CT the contest result satisfy the following two terms: 1. All of the teams solve at least one problem. 2. The Champion (one of those teams that solve the most problems) solves at least a certain num

Poj 3744 Scout yyf I (matrix optimization probability), pojyyf Http://poj.org/problem? Id = 3744 There are n mines. The starting position of a person is 1. The probability of each step is p. The probability of two steps is 1-p, and the position of n mines is given, ask the probability of successful exit from the minef

Title Link: Http://codeforces.com/problemset/problem/148/DThe main topic: a bag of W White mouse, b black Mouse; A and b take the mouse in turn (not put back), who first caught microscope, who win; because B rude, every time a mouse, will run out of a first;The probability of seeking a win;Topic Analysis:This kind of probability DP state is fixed, DP (i, j) indicates the

Title Description:Write a random shuffle function. 52 of the required wash out! All kinds of combinations are equal probabilities. That is, the probability of a combination you wash out is 1/(52!). Assume that you have a perfect random number generator.Problem Solving Ideas:This is a probability problem.Random Shuffle, the purpose is to do randomness, require each card to appear the

A simple lottery probability function Absrtact: This function is mainly to determine the probability range of the random number generated ... A simple lottery probability function: /*** Simple lottery probability function * @param array $rewardArray probability, such as: $

Test instructions: In ACM Contest, the n question, the T team. Give each team the probability of doing each question, ask each team at least one question, at least one team to do at least the probability of the M problemAnalysis: dp,f[i][j] indicates the probability of the first team doing the question J. G[I][J][K] Indicates the

Problem: A small island, represented as a square n × N, from (0, 0) to (N-1, N-1), a person standing on the island, location (x, y), he can go up and down, one step is a grid, and the possibility of selecting top, bottom, and left is the same. When he leaves the island, it means death. If he is going to take K steps, how likely is his death? Analysis I: The probability is required. First, the number n of all paths and the number M of outbound paths a

Cocos2dx lottery page and prize winning probability design (1): cocos2dx Lucky Draw **************************************** ************************************ Time: 2015-02-01 Author: Sharing_Li Reprinted Source: http://blog.csdn.net/sharing_li/article/details/43268877 **************************************** ************************************ In different games, there are often a variety of lottery activities, such as a free lottery each time

1. Random variablesWe do not care about the specific results or the order of occurrence of random trials, and the relationship is the number associated with them.Random variables are a function of linking the result of a random experiment with a number, and its value has a certain probability.The random variables are in uppercase letters, and the real numbers are in lowercase letters.Such as: Throw three times coins appear 2 times the probability of p

PHP winning probability algorithm, can be used for scraping cards, large turntable and other lottery algorithm. The usage is very simple, the code has the detailed comment explanation, can understand at a glance Php/** Classical probability algorithm, * $PROARR is a pre-set array, * Assuming array is: Array (100,200,300,400), * Start is to filter from 1,1000 this pr