BlackJack

Game Description

BlackJack is a classic card game where players aim to beat the dealer by obtaining a hand value as close to 21 as possible without exceeding it. In Mega Casino’s BlackJack variant, players place a wager and compete against the dealer. Wins typically pay out at 1:1, with bonuses for natural BlackJack hands. To ensure long-term sustainability, a built-in 1.5% house edge is integrated into the game. This house edge reduces the effective win probability and, in turn, the Return to Player (RTP), ensuring that over many plays the average return is 98.5%.

Multiplier Calculations

In an ideal (fair) BlackJack game, one might assume a win probability of around 50%. With a 1.5% house edge, however, the win probability is reduced as follows:

---

$$P_{\text{win}} = P_{\text{fair}} - \text{House Edge} = 0.50 - 0.015 = 0.485 \quad (48.5\%)$$

---

Return to Player (RTP)

The RTP represents the average return for the player over the long term. With the 1.5% house edge, the RTP is calculated by:

---

$$\text{RTP} = 1 - \text{House Edge} = 1 - 0.015 = 0.985 \quad (98.5\%)$$

---

This means that for every $1 wagered, the player can expect to receive $0.985 on average.

Available Examples

• Example 1: A player bets $100. The expected return is:

---

$$\text{Expected Return} = \$100 \times 0.985 = \$98.50$$

---

• Example 2: A player bets $50. The expected return is:

---

$$\text{Expected Return} = \$50 \times 0.985 = \$49.25$$

---

House Edge Integration

The integration of the 1.5% house edge ensures that:

• The win probability is adjusted from an assumed fair chance of 50% down to 48.5%.

• The RTP is reduced to 98.5%, meaning that over time, players will receive 98.5 cents for every dollar wagered on average.

These adjustments are critical for maintaining a balanced and sustainable game environment, where the excitement of BlackJack is preserved while ensuring the casino’s long-term viability.