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Odds of Winning

Before You Gamble … Know the Odds

Gambling should always be viewed as entertainment and a way to have fun – not as a way to win or make money. When you gamble you can hope to win, but the odds always favour the house. In essence you are paying to play the games. In most circumstances, and for most people, the more you play, the more you will lose.

So before you gamble, you should know the odds of winning and losing so you can set limits for yourself on the amount you are prepared to bet.

It's very common to see and hear stories about winners and it's fun to dream of the big win. Of course it is statistically possible to win – but it's important to realize the vast majority of people will lose more than they win when they gamble. If you accept this basic reality, then gambling can remain a form entertainment and a fun thing to do occasionally. (See Gambling Responsibly for tips on how to gamble safely)

The Odds of Winning … and Losing

Understanding the odds of winning and losing is not necessarily a simple thing. The odds of winning any game vary greatly from one game to the next and depend on a wide number of factors. For some games determining odds is much easier than for other games – as the odds depend upon the number of players, the size of wager, and the rules or nature of the particular game being played.

More detailed information on various casino games can be found on the British Columbia Lottery Corporation's website and in their Lottery Guide booklet. Additional information on slot machines can be found in the brochure "Slot Machines – The Facts About the Odds of Winning" [PDF].

We have included here a sample of odds associated with some of the games of chance available in British Columbia:

Lottery Tickets
Lotto 649 & BC49
Matching all six numbers 1 in 13,983,816 million*
Matching 5 + the Bonus number 1 in 2,330,636 million
Matching 5 numbers 1 in 55,492
Matching 4 numbers 1 in 1,033
Matching 3 numbers 1 in 57
Extra
Matching all four Extra numbers 1 in 3,764,376
Matching 3 of 4 numbers 1 in 9,906
Lotto Super 7
Matching all seven numbers correctly 1 in 62,891,499
Matching 6 + the Bonus number 1 in 8,984,500
Matching 6 numbers 1 in 1,230,372
Matching 5 numbers 1 in 3,839
Matching 4 numbers 1 in 182
Matching 3+ the Bonus number 1 in 197
Matching 3 1 in 22
Scratch & Win Tickets
GoldRush (example)  
Prize Level Odds
$10,000 1 in 272,000
$1,000 1 in 115,471
$500 1 in 38,490
$100 1 in 7,693
$50 1 in 2,101
$10 1 in 288
$5 1 in 31
$2 1 in 8.88
* If you buy 1 ticket per week you can expect to win the top prize, on average, once during the next 268,920 years.

For more information about odds on lottery products please visit British Columbia Lottery Corporation's website www.bclc.com
 
Casino Games
Slot Machines
There are dozens of different slot games, each with different jackpots and each with different odds. Odds of winning the top prize at maximum coin play can range from 1 in 4,096 to 1 in 33,554,000.
Roulette
Chosen number coming up 1 in 38
Odds of winning $1 million from an initial $1 bet 1 in 2 million
For more information about odds on various casino games please visit British Columbia Lottery Corporation's website www.bclc.com
 
Bingo

Odds of winning will be better when the game pattern uses fewer squares – and the caller draws numbers until somebody wins. In these situations the odds will be determined by the number of total players and the total number of cards in play.

Some people believe chances of winning increases proportionately with the number of cards they play. While true, the advantage is less than imagined. Take our example of 200 cards in play. Your odds go from 1 in 200 to 1 in 40 if you're playing five of those cards rather than a single card. But you must consider you are paying five times as much to play, but only decreasing your odds of losing from 199 out of 200 to 195 out of 200. And you're losing your money five times as fast. Also, while playing more cards might slightly improve your odds, you must consider that other players are probably playing multiple cards as well.

 
Coverall
48 numbers drawn (best odds possible) 1 in 799,399
49 numbers drawn 1 in 407,857
50 numbers drawn 1 in 212,086
51 numbers drawn 1 in 112,284
52 numbers drawn 1 in 60,458
60 numbers drawn 1 in 5,000
 
The House Edge
(Excerpt from True Odds, James Walsh, Merritt Publishing)

The following numbers are typical of the house advantage built into various games. This means in the long term the house will always be ahead. For instance, if you are betting $100 an hour on roulette, you will, in the long run lose an average of $5.60 an hour. However, this is only an average figure and should not be used as a guideline. Your experience playing this game will no doubt vary from this average. When betting on horse races, you can expect to lose $19 for every $100 an hour you bet. As the following list shows, the statistical edges against the player will vary from game to game.
 
Blackjack:  
     Normal betting 2%– 20%
     Employing 'Perfect Strategy' 0.5%– 2%
Roulette 5.6%
Slot Machines 2.0 – 35%
Horse Racing 19%
 
Other Odds In Life
(Odds of occurring in your lifetime)  
Dying from flesh-eating bacteria disease 1 in 1 million
Being struck by lightening 1 in 240,000
Being killed by a venomous bite or sting 1 in 160,000
Dying from falling down stairs or steps 1 in 6,330
 

Myths & Mistaken Beliefs

Betting systems can improve your odds

There are literally hundreds of sites on the internet which offer or sell systems or schemes on how to improve your odds of winning at gambling, or for picking winning lottery numbers. Typically these schemes are full of pseudo-scientific jargon and erroneous statements about mathematics and probability. The fact is these so-called systems can't improve a gambler's chances because no system can predict or overcome the randomness of chance which is the very nature of most games of chance. Many such systems being sold to gamblers are actually designed to encourage gamblers to gamble even more money – with no scientific prospect that their chances of winning will improve whatsoever.

Some of these systems purport to make it easier to predict winning lottery numbers. It doesn't matter how the numbers are picked or whether you play the same or different numbers each time; your odds of winning are always the same. The selection of numbers is always purely by chance

Some people are luckier

Many people believe their luck can influence the outcome of a game or will gamble because they feel lucky at particular moments or belief a certain machine, horse, set of numbers are lucky for them. The fact is most games of chance are insensitive and oblivious to so-called good or bad luck. People tend to confuse entirely random events or pure chance with personal luck. They are not the same things. If people choose to believe in luck they should know that when it comes to gambling the luck most gamblers will experience most of the time will be bad luck.

People can predict if a coin is going to come up heads or tails when it is flipped, or the outcome of the roll of the dice

Each flip of the coin or roll of the dice is an independent event. It doesn't matter what came up in the previous flip or roll. The chances of heads or tails coming up in a single flip are 50 per cent, regardless of what occurred on all the previous flips.

People can generally win their money back after they have a losing streak

This is simply not true. Casinos exist because people don't win their money back. There is no reason to believe that a losing streak will be replaced by a winning streak that allows people to win their money back. Over the long run, most people will lose more than they win because the odds are not in their favour.

Experience can improve your chances of winning

Skill at games has no significant influence on slot machines. Slots, like other gambling games are skewed in favour of the house, which takes a constant percentage of players' bets over time. Skill or experience will have no influence on most forms of gambling.

 
 

 


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