Arithmetic Complexity in Texas All or Nothing

Reply #7

Orange71 — Thu, 27 Jul 2023 00:19:11 GMT

Fair point on the probabilities. For this game they are double for each tier from what I showed from my equation since two outcomes result in each prize. The player is expected to lose about $0.44 per $1 spent overall, before income tax of course in the event of a net win. Also, there is some possibility that the $250k top prize will be reduced in the event of more than 20 winners. Still terrible overall in my opinion, but not as terrible as I had suggested originally.

rib

Reply #6

JADELottery — Wed, 26 Jul 2023 17:12:49 GMT

There is a miscalculation in the odds to win.

Based on a play line-by-play line basis, there are two opportunities to win a prize.

For example, to win the top prize of $250,000, in one play line there are two opportunities to win $250,000, either match 0 or 12.

This changes the odds from 1 : 2,704,155.00 individually to 1 : 1,352,077.00 overall to win the top prize of $250,000.

Likewise, all the other prize amount odds are different as shown below.

Here's a break down of the... [ More ]

Reply #5

Stack47 — Sat, 01 Jul 2023 18:52:46 GMT

It's a really awful game in terms of odds vs returns

The odds vs return in most pick 3 games are less than 50% and other games are even worse. The chances of a $2 All or Nothing ticket winning something is 22.22% or 1 out of 4.5 tickets. Though it could be $10, $50, $500 or quarter million, players should expect the minimum return of about $2 for every 5 tickets they purchase.

Wouldn't call it an awful game but showing a profit playing the game might require winning the jackpot.... [ More ]

Reply #4

Orange71 — Sat, 17 Jun 2023 15:50:51 GMT

I took the liberty of inferring probability, as arithmetic complexity is a fairly imprecise term. Your Groups A, B and C have nothing to do with why All or Nothing is an unfair game. You can pick any groups of 9 numbers, 10 numbers and 5 numbers and say the same thing. They don't have to have 0, 1 or 2 as a first digit. The reason All or Nothing is terrible is the price structure payouts versus the probabilities of hitting the price tiers. I provided an example for the top prize tier in my origi... [ More ]

Reply #3

whisper4628 — Fri, 16 Jun 2023 07:22:55 GMT

he asked you what arithmetic complexity is, and you told him what probability is ?

i think you didn't mention or answer his question.

by the way, you're right for saying all or nothing lottery is awful, since the game is an unfair game. why?

if we divide 24 numbers into three groups, let's say A, B and C.

Group A contain 01 02 03 04 05 06 07 08 09. (begin with 0)

Group B contain 10 11 12 13 14 15 16 17 18 19. (begin with 1)

Group C contain 20 21 22 23 24. (begin with 2... [ More ]

Reply #2

Orange71 — Sat, 03 Jun 2023 22:32:31 GMT

It's a really awful game in terms of odds vs returns (which is all that matters). I would suggest move on and play something else.

The probability calculations are very simple for this game, however. Let P(x) be the probability of x matches, where x is an integer between 0 and 12, inclusive. Then,

P(x) = C(12,x) * C(12,12-x) / C(24,12).

Notice the probabilities for x and 12-x matches are the same.

Top prize for 0 or 12 matches on a $2 ticket is $250k, and that becomes pari-mutu... [ More ]

Reply #1

mrtckw — Wed, 31 May 2023 21:57:53 GMT

12 numbers = 1/2704156

0 numbers = 1/2704156

formula: n!/(k!(n-k)!) = 24!/(12!(24-12)!)

n = Total numbers available

k = Maximum number in a bet

Arithmetic Complexity in Texas All or Nothing

Luckylarry214 — Tue, 30 May 2023 22:14:23 GMT

I am seriously needing help on finding out the arithmetic complexity in Texas All or Nothing Game? What is the formula