By
The Count, on July 2nd, 2009
So you’re thinking of parting with a small sum of your money in return for a miniscule chance at winning the Big Prize, the Brass Ring, the Instant Retirement Bonanza, but you just can’t bring yourself to do it. Well, here’s a few reasons you can use to rationalize that minor expense, the Lottery ticket.
1. You’re (really) bad at math. Let’s look at the numbers. In a “standard” Lottery, say 6 balls from 1-50, the number of possible combinations is C(50,6), or roughly 16 million. That’s not so bad, you think, and you’d be right, but these kinds of lotteries rarely get into the rarefied air of the $50M or $100M payout, exactly because there are so “few” combinations. Replace that last ball with a “bonus ball” of 1-30, and now you’re at 30*C(50,5), more like 63.5M combinations (bonus balls can be the same number as any of the other balls, which greatly increases the number of possibilities). How’re those odds looking now? Well, what if the payout is $100M!? That’s still a good bet, right? It would be, if you got to keep it all. At today’s tax rates, and taking all the money up front (which you’d be really bad at math not to do), you end up with only 30% of the payout. I could go into how easy it is to get 2 or more winners on the same set of numbers, cutting your jackpot even more, but I think you get the point. The Lottery is so very rarely a “good bet”.
Continue reading 5 excellent reasons to play the Lottery
By
The Count, on July 1st, 2009
For the past 20 years, I’ve been going to Las Vegas for a weekend here and there and, just like everyone else, I couldn’t even stop gambling to eat; and why should I? The casino owners so graciously offer to take even more of my money as I munch on the buffet of the day with the lottery alternative, Keno.
In case you’re unfamiliar with the game, its basic version goes like this. On a grid with 80 spaces labeled with numbers 1 through 80, the player may choose between 1 and 20 spaces and mark them. The computer then randomly chooses 20 spaces (regardless of how many the player chose). A win is determined by how many spaces marked by the user were chosen by the computer (these are called matches).
| Matches |
Payout |
| 1-2 |
$0 |
| 3 |
$2 |
| 4 |
$5 |
| 5 |
$150 |
| 6 |
$3000 |
A possible payout table for picking 6 numbers in Keno.
People from all over the casino turn in $2 and a card containing their marks for the next game and the computer’s same 20 chosen spaces are played against all of them. Note that the more spaces the player marks, the more spaces must match in order for the player to win. In this example, the player chose 6 numbers, then hoped for 3 or more of those number to match. Please note the marked increase in the payout as the number of matches increases, this is what first got me interested in the game. I also wondered how the computer could control the total payout (in some cases a player can win over $100,000) when so many people are playing, and the computer must pick the same 20 numbers. I knew there was no way a casino would run a game where the odds weren’t in their favor, so I set out to determine the actual probabilites involved.
Continue reading Keno: an odd game