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# 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?

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

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

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")) {
return
}

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

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

// 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
switchPlayer();

// Check for a winner
checkWinner(\$(this));

});

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 == "") {
return
}

// 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)) {
wonMessage(player);
}

}

// 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)) {
wonMessage(player);
}

}

//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)) {
wonMessage(player);
}

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

wonMessage(player);

}

}

});

}

// 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");
\$("#winner").text("");
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-item.disabled").removeClass("disabled");
\$("#winner").text("");

switchPlayer();

});``````
``````.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>
<hr>
<strong>Instructions: </strong> click on grid to change player selection. <button id="undo">Undo</button>  <button id="reset">Reset</button>

<hr>
<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>
</div>``````

## 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

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.