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Mathematical Strategy for Stake Keno

roykuntal13

By roykuntal13
in Keno

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roykuntal13

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1. Understanding Probabilities

The probability of a specific number being drawn when you choose n numbers from 80:

Formula: P(number drawn) = n / 80

Example: If you choose 10 numbers: P(number drawn) = 10 / 80 = 0.125 (or 12.5%)

2. Calculating Combinations

The number of ways to choose k numbers from n numbers is given by the combination formula:

Formula: C(n, k) = n! / (k!(n-k)!)

Example: Choosing 5 numbers from 80:

C(80, 5) = 80! / (5!(80-5)!)

C(80, 5) = (80 × 79 × 78 × 77 × 76) / (5 × 4 × 3 × 2 × 1) = 24,040,016

3. Expected Value (EV)

Calculate the expected value of your bet:

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

Example: If you bet $1 with a 20% chance to win, and the payout is $5:

EV = (0.20 × 5) - (0.80 × 1) = 1 - 0.80 = 0.20

A positive EV (0.20) indicates a favorable bet.

4. Assessing Payouts and Probabilities

Understand that the more numbers you choose, the lower your chance of hitting them all, but the payouts can increase.

Example: If you choose 10 numbers and hit 5, calculate the payout based on the game's payout structure.

5. Bet Sizing Using Probabilities

Determine your bet size based on the perceived risk and potential return.

Example: Bet more on combinations that have a higher expected value.

6. Tracking and Analyzing Results

Keep track of your bets, outcomes, and analyze the data.

Use statistical analysis (win rate, average payout) to refine your strategy.

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