Excel: Conditional probabilities of winning a tiebreaker game

Excel: Conditional probabilities of winning a tiebreaker game

By : user2951197
Date : November 18 2020, 01:01 AM
wish helps you If you are going to use those formulas, then as the paper says, you need to use two tables, P_A and P_B.
Your calculation assumed that player A is on serve until someone reaches 7 or the score is (6,6). This incorrectly gives a big advantage to player A.
code :
P_C(a,b) = p_A * P_C(a+1,b) + (1-p_A) * P_C(a,b+1) when a+b mod 4 is 0 or 3.
P_C(a,b) = (1-p_B) * P_C(a+1,b) + p_B * P_C(a,b+1) when a+b mod 4 is 1 or 2.
P_C(6,6) = p_A * (1-p_B)/(p_A * (1-p_B) + p_B * (1-p_A)).
P_C(7,_) = 1.
P_C(_,7) = 0.

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How can I convert cumulative hazard probabilities to conditional/marginal probabilities?

How can I convert cumulative hazard probabilities to conditional/marginal probabilities?

By : John Pltt
Date : March 29 2020, 07:55 AM
I hope this helps you . If you difference the cumulative hazard in the way you suggest, you will get h(t), the hazard. h(t) does amount to a conditional probability for discrete-time durations. Note, though: for continuous-time durations, h(t) is a rate (it can be larger than 1, for instance).
As an aside: I cannot remember whether Aalen's additive model is semi-parametric offhand. However, if it is, the cumulative hazard will only change in value in the months where we see a failure. It won't impact your (month - previous month) calculation any--the difference will come out to be 0, which is always the case for semi-parametric duration models when we observe no failures.
Python: Conditional probabilities of winning a tiebreaker game

Python: Conditional probabilities of winning a tiebreaker game

By : Kari
Date : March 29 2020, 07:55 AM
it should still fix some issue You need only one recursion. Note (a+b) mod 2 identifies which player is serving right now. So probability of that player winning/not winning should be used accordingly.Here's the solution when player A is serving.
code :
def prob_tiebraker_game(Pa, Pb, a, b):
    if a == 7 and b >= 0 and b <=5:
        return 1
    elif b == 7 and a >= 0 and a <=5:
        return 0
    elif a == 6 and b == 6:
        return (Pa*(1-Pb))/(Pa*(1-Pb) + (1-Pa)*Pb)
    elif (a+b) % 2 != 0:
        # if player A wins (probability Pa) a increases by 1, b remains same
        # if player A doesn't win (probability 1-Pa) b increases by 1, a remains same
        return Pa*prob_tiebraker_game(Pa, Pb, a+1, b) + (1-Pa)*prob_tiebraker_game(Pa, Pb, a, b+1)
    elif (a+b) % 2 == 0:
        # if player B wins (probability Pb) b increases by 1, a remains same
        # if player B doesn't win (probability 1-Pb) a increases by 1, b remains same
        return Pb*prob_tiebraker_game(Pa, Pb, a, b+1) + (1-Pb)*prob_tiebraker_game(Pa, Pb, a+1, b)
Need help to check winning conditions for a Tic-Tac-Toe game in Js

Need help to check winning conditions for a Tic-Tac-Toe game in Js

By : user2232316
Date : March 29 2020, 07:55 AM
help you fix your problem I dont know how to check for the winning conditions.Could someone explain it to me step by step.I'll post my code. Im also new to coding.
code :
var currentPlayer = "one";
var lastGridItem = "";

// Attach click event to grid-item
$(".grid-item").click(function() {

  // Exit if disabled
  if ($(this).hasClass("disabled")) {

  // Determine if player has selected that grid-item
  player = $(this).attr("player");

  // Exit if already chosen by player
  if ( player == "one" || player == "two" ) {

  // Assign current player's choice of this grid-item
  $(this).attr("player", currentPlayer);

  // Save grid-item index so it can be undone
  lastGridItem = $(this).attr("grid-value");

  // Move to next player

  // Check for a winner


function checkWinner(grid_item) {

  $(".grid-item").each(function() {

    // Get play who has selected grid-item
    player = $(this).attr("player");
    i = $(this).attr("grid-value");

    // Exit if player has not been set for this grid-item 
    if (player == null || player == "") {

    // Check if row assigned to player
    // We only need to check do this once per row, using the far right grid-items
    if (i % 3 === 0) {

      // By using the far right grid-items, we know we need to check the ones with an index 1 lower and 2 lower
      if (player == getPlayer(i - 1) && player == getPlayer(i - 2)) {


    // Check for columns
    // We only need to do this for the bottom three grid-items
    if (i > 6) {

      // Check if the grid-items that are in that column have been assigned to the same player
      if (player == getPlayer(i - 6) && player == getPlayer(i - 3)) {


    //Check for diagonals, only do this if checking center square
    if (i == 5) {

      // Check top left and bottom right against centerPlayer
      if (player == getPlayer(1) && player == getPlayer(9)) {

      // Check centerPlayer against top right and bottom left
      else if (player == getPlayer(3) && player == getPlayer(7)) {






// Gets player assigned to grid-item
function getPlayer(i) {
  return $("[grid-value=" + parseInt(i) + "]").attr("player")

// Prints winning message and disables game
function wonMessage(player) {
  $("#winner").text("Player " + player + " has won");

// Reset game
$("#reset").click( function() {

  $(".grid-item").attr("player", "").removeClass("disabled");
  currentPlayer = "one";


// Switch player
function switchPlayer() {

  if (currentPlayer == "one") {
    currentPlayer = "two";
  } else {
    currentPlayer = "one";

// Undo last move
$("#undo").click( function() {

  // Clear player on grid-item
  $(".grid-item[grid-value=" + lastGridItem + "]").attr("player", "");
  // Re-enable if disabled

.grid {
  width: 165px;

.grid-item {
  width: 50px;
  height: 50px;
  border: 1px solid black;
  display: inline-block;

.grid-item.disabled {
  opacity: 0.7;

.grid-item[player=one] {
  background: red;

.grid-item[player=two] {
  background: blue;
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<h1> Tic-Tac-Toe game!</h1>
<strong>Instructions: </strong> click on grid to change player selection. <button id="undo">Undo</button>  <button id="reset">Reset</button>

<p id="winner"></p>
<div class="grid">
  <div class="grid-item" grid-value="1"></div>
  <div class="grid-item" grid-value="2"></div>
  <div class="grid-item" grid-value="3"></div>
  <div class="grid-item" grid-value="4"></div>
  <div class="grid-item" grid-value="5"></div>
  <div class="grid-item" grid-value="6"></div>
  <div class="grid-item" grid-value="7"></div>
  <div class="grid-item" grid-value="8"></div>
  <div class="grid-item" grid-value="9"></div>
php set winning percentage from simple game

php set winning percentage from simple game

By : shekhar-shubhendu
Date : March 29 2020, 07:55 AM
will be helpful for those in need i had a very simple game, the game is choosing between BLACK and WHITE , It's unclear what you're asking, but it sounds like you want:
How can I fix these errors about lottery winning game

How can I fix these errors about lottery winning game

By : zoomerang93
Date : March 29 2020, 07:55 AM
around this issue This is what happens when you don't format your code in a way you can understand.
Anyway this is just pure chaos.
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