246 Way Keno

Introduction

246 Way Keno is a variation of spot keno where players utilize seven unique cards simultaneously. Each participant selects three cards designated for two-number picks, ensuring that all selections differ. The system then combines these three cards into three separate two-number combinations and treats them as if they were three four-number cards, along with an additional six-number card based on the numbers from the original three selections.

Rules

1. The player picks six numbers from 1 to 80.
2. The first pair of numbers selected creates a keno card known as 'A' with a pick of two.
3. The second pair of numbers selected will constitute a keno card labeled 'B' with a pick of two.
4. The third pair of numbers selected will form a keno card identified as 'C' with a pick of two.
5. The numbers from cards A and B combined will generate a new four-number keno card referred to as 'A+B.'
6. The numbers from cards A and B combined will generate a new four-number keno card referred to as 'A+B.'
7. The combination of numbers from cards B and C will yield another four-number keno card named 'B+C.'
8. The gathering of all numbers from the three cards will result in a six-number keno card called 'A+B+C.'
9. The game involves drawing 20 unique numbers from a set of 80, ensuring no number is drawn more than once.
10. The scoring system will evaluate and award the player based on the outcomes of the seven cards in play and according to the established payout table.

Pay Table 1 Analysis

The table below outlines the payouts for the pick 2, 4, and 6 keno based on what I designate as payout table 1.

The subsequent table illustrates all the potential outcomes for 246 keno concerning payout table 1. The initial three columns reflect the number of hits from cards A, B, and C, while the probability column indicates how likely each combination of hits is. The return section shows the result of multiplying the probability by the winnings, adjusted by a factor of 1/7 to represent the return against the total wager spread across the seven cards. The lower right corner depicts a cumulative return of 0.858725.

The following table provides a summary of all winning combinations that yield the same payout from the previous return table.

The overall variance for all seven cards, each with a single unit bet, is calculated at 231.23. The standard deviation across all seven units wagered is noted at 15.21. When viewed as a single unit, the standard deviation is measured at 2.17.

Pay Table 2 Analysis

The table below details what each level of catches earns for pick 2, 4, and 6 keno according to what I call payout table 2.

This next table outlines the probabilities and their contributions towards total winnings, illustrating the return in relation to a seven-unit stake.

The cumulative variance for all seven cards, with each operating on a single unit bet, is recorded at 739.86. The standard deviation across those seven units is at 27.20, while the standard deviation, calculated against the total bet as a single unit, is 3.89.

Pay Table 3 Analysis

The upcoming table showcases payment amounts for catching numbers in pick 2, 4, and 6 keno based on what I refer to as payout table 3.

This next table outlines the probabilities and their contributions towards total winnings, illustrating the return in relation to a seven-unit stake.

For a total variance determined by seven cards, with one unit bet on each, the figure is 680.42. The standard deviation across those seven unit bets stands at 26.08 and, when assessed as a single unit, is 3.73.

Pay Table 4 Analysis

The forthcoming table indicates the payment structure for various catches in pick 2, 4, and 6 keno, categorized under what I call payout table 4.

This next table outlines the probabilities and their contributions towards total winnings, illustrating the return in relation to a seven-unit stake.

The total variance for all seven individual cards, with a one-unit wager on each, results in 665.92. Standard deviation for those units is 25.81, and when analyzed as a single unit, comes to 3.69.

Pay Table 5 Analysis

The table that follows presents payment details for catching numbers in pick 2, 4, and 6 keno using what I have designated as payout table 5.

This next table outlines the probabilities and their contributions towards total winnings, illustrating the return in relation to a seven-unit stake.

Here, the total variance recorded across seven cards, each at a unit bet, is 751.75. The standard deviation across the total of seven bets is quantified at 27.42, while the standard deviation, viewed as one unit, is 3.92.

Pay Table 6 Analysis

This table exhibits the payouts for pick 2, 4, and 6 keno for what I classify as payout table 6.

This next table outlines the probabilities and their contributions towards total winnings, illustrating the return in relation to a seven-unit stake.

The cumulative variance from betting one unit on each of the seven cards amounts to 316.55. The standard deviation across all bets in that format is 17.79, and as a single unit total, it stands at 6.72.

Pay Table 7 Analysis

The subsequent table is focused on payouts for number catches in pick 2, 4, and 6 keno under payout table 7.

This next table outlines the probabilities and their contributions towards total winnings, illustrating the return in relation to a seven-unit stake.

A total variance calculated for seven cards, with each being a one-unit wager, is settled at 826.15. The standard deviation across these bets is 28.74, while the single unit deviation is 4.11.

Pay Table 8 Analysis

In this next table, payouts for each number of catches in pick 2, 4, and 6 keno are delineated under payout table 8.

This next table outlines the probabilities and their contributions towards total winnings, illustrating the return in relation to a seven-unit stake.

For seven cards with one unit bet each, the overall variance is measured at 717.25, the standard deviation across these seven unit bets is listed as 26.78, and when broken down to show a single unit basis, it results at 3.83.

Internal Links

Please also see my page on 369 Way Keno .

Written by: Michael Shackleford