What is the best way to show the probability of users' bets in percentage form based on their wagered amounts?

I am currently working on creating a Jackpot Roulette game that features a main pot. Each round sees users joining and placing bets that contribute to the main pot, with the winner taking home the entire amount.

My goal is to provide each user with real-time information on their current chance of winning. This information needs to be updated every second to ensure accuracy as the game progresses.

Within my system, I have an array of users along with the corresponding bet amounts they have placed. For example:

[ username: user1, betAmount: 600], 
[ username: user2, betAmount: 400]

I need assistance in calculating each user's chance of winning based on their bet amount relative to other users. Ideally, I want to display this calculated chance to the respective user (e.g. user1 has a 60% chance while user2 has a 40% chance).

If anyone can help me develop a function that can accurately calculate these chances by considering the bet amounts of all users and dividing the maximum chance of winning (100%) among them, it would be greatly appreciated.

Answer №1

Here is an example illustrating how to calculate odds based on betAmount/total(betAmounts)*100

var bets = [
  { username: 'user1', betAmount: 100 }, 
  { username: 'user2', betAmount: 300 }
];
// Calculate the total bets
var totalbets = bets.map(({betAmount}) => betAmount).reduce((a, b) => a + b);
// Output results to console
bets.forEach(({username, betAmount}) => {
  console.log(`user ${username} odds ${betAmount/totalbets*100}`);
});

The display of these results on a webpage would require HTML code not provided in this context.

A brief breakdown of the code:

Array#map generates a new array by applying a function to each element of the original array. Here, it creates an array of numbers [100, 300].

Array#reduce reduces an array to a single value by executing a function against an "accumulator." In this case, it sums up the values resulting in 400.

If there were three values like [3,2,1]:

  • First call with a=3,b=2 returns a+b = 5
  • Second call with a=5 (result from previous iteration), b=1 gives a+b=6

Refer to the linked documentation for detailed explanations, as reduce can also take an initial accumulator value, impacting the number of callback function executions.

Answer №2

The outcome varies depending on the game being played. The specific game determines whether the bet amount is a deciding factor in winning. Instead of focusing on the bet amount, consider the value that is being bet on and compare it to other possible values.

For instance, if the game instructs players to choose a number between 1-100 with the option to select more numbers based on their bet amount, you can calculate their chance to win by dividing the

number of values they chose / 100
. So, if one player bets 200 and selects numbers 10 and 3 while another player bets 100 and chooses the number 61, the first player has a 2% chance to win whereas the second player has a 1% chance.

If you prefer to incorporate bet amounts into the equation, follow these steps:

var bettotal = bet1 + bet2 + bet3 + bet4;
var user1chance = bet1 / bettotal * 100;
//continue for other users...

To display the results on an element, use this code:

document.findElementById('myID').value = user1chance;

Answer №3

Based on the formula provided, it appears that a user's probability of winning is determined by dividing their bet amount by the total amount bet (multiplied by 100%). For example, if user 1 bets 100 and user 2 bets 300, then user 1 would have a 25% chance of winning (100 / 400).

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