Mathematical Strategy for Stake Slider Game

[roykuntal13]

1. Understanding the Game Mechanics

In Stake's Slider game, you choose a multiplier, and the goal is to land on that multiplier or higher when the slider stops.

2. Probability of Winning

The probability of hitting a specific multiplier depends on the range of multipliers available.

Example: If the slider ranges from 1.0x to 10.0x, and you choose a 2.0x multiplier:

Probability of winning (assuming uniform distribution):

P(winning) = (Max Multiplier - Chosen Multiplier) / (Max Multiplier - Min Multiplier)

P(winning) = (10 - 2) / (10 - 1) = 8 / 9 ≈ 0.8889 (or 88.89%)

3. Expected Value (EV) Calculation

Calculate the expected value to determine the profitability of your chosen multiplier.

Formula: EV = (P(win) × Payout) - (P(lose) × Bet)

Example: If you bet $1 on a multiplier of 2.0x with a payout of $2 (your original bet + winnings):

Winning Probability: P(win) = 0.8889

Losing Probability: P(lose) = 1 - P(win) = 0.1111

EV Calculation:

EV = (0.8889 × 2) - (0.1111 × 1)

EV = 1.7778 - 0.1111

EV = 1.6667

A positive EV (1.6667) indicates that betting on this multiplier may be profitable.

4. Bet Sizing

Adjust your bet size based on your bankroll. Bet a fixed percentage of your bankroll (e.g., 1-5%).

Example: If your bankroll is $100, you could bet $1 (1%) to $5 (5%) per round.

5. Risk Management and Limits

Set a win limit (e.g., 30% profit) and a loss limit (e.g., 20% of your bankroll).

Example: If your bankroll is $100:

Win Limit: $130 (30% profit)

Loss Limit: $80 (20% loss)

6. Tracking Results

Keep track of your bets and outcomes. Use statistical analysis to refine your strategy.

Calculate your win rate and average payout over a series of bets.

[mateustk7]

Muito bom post, parabéns!

[dzejdj]

nice will try it

 

[midnight]

Weird chatgpt output, also doesn't consider house edge, and the max multiplier is not . Be careful taking AI advice without scrutiny. Slide also does not have a uniform distribution, it has a right skewed distribution since the multis go very high (instead of a uniform distribution like dice has.)

The max/min multipliers % doesn't make a lot of sense either. You would actually want to do that formula

 

Actual probability of winning, let house edge = 0.98 as it is on slide;

P(n) = (1/target)*0.98

P(n) = (1/2)*.98

P(n) = 0.49

 

Formula: EV = (P(win) × Payout) - (P(lose) × Bet)

P(lose) = 1 - P(win)

EV = (P(0.49) * 1.98) - (P(.51) * 1)

EV = (0.49 * 1.98) - .51

EV = 0.9702 - 0.51

EV = 0.4602

 

[zoran]

What is this formula like?

[PassawayJ]

Crazy 1 for formula tho