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For games based on the Canadian lottery (such as the lottery of the United Kingdom), after the 6 main balls are drawn, an extra ball is drawn from the same pool of balls, and this becomes the powerball (or "bonus ball"). An extra prize is given for matching 5 balls and the bonus ball.



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5 balls and the bonus This article needs additional citations for.
Unsourced material may be challenged and removed.
Find sources: — · · · · April 2011 Lottery mathematics is used to calculate of winning or losing a game.
It is based heavily onparticularly the and.
If the six numbers on a ticket match the numbers drawn by the lottery, the ticket holder is a winner— of the numbers.
The 5 balls and the bonus of this happening is 1 in 13,983,816.
The of winning can be demonstrated as follows: The first number drawn has a 1 in 49 chance of matching.
When the draw comes to the second number, there 5 balls and the bonus now 5 balls and the bonus 48 balls left in the bag, because the craps easy money are drawn.
So there is now a 1 in 48 chance of predicting this number.
Thus for each of the 49 ways of choosing the first number there are 48 different ways of choosing the second.
This means that the of correctly predicting 2 numbers drawn from 49 in the correct order is calculated as 1 in 49 × 48.
On drawing the third number there are only 47 ways of choosing the number; but of course we could have arrived at this point in any of 49 × 48 ways, so the chances of correctly predicting 3 numbers drawn from 49, again in the correct order, is 1 in 49 × 48 × 47.
This continues until the sixth number has been drawn, giving the final calculation, 49 × 48 × 47 × 46 × 45 × 44, which can also be written as 49!
}} or 49 divided by 43 factorial.
This works out to 10,068,347,520, which is much bigger than the ~14 million stated above.
However; the order of the 6 numbers is not significant.
That is, if a ticket has the numbers 1, 2, 3, 4, 5, and 6, it wins as long as all the numbers 1 through 6 are drawn, no matter what order they come out in.
Dividing 10,068,347,520 by 720 gives 13,983,816, also written as 49!
}}where n is the number of alternatives and k is the number of choices.
Further information is available at and.
This function is called the function; inthis function is implemented as COMBIN n, k.
For example, COMBIN 49, 6 the calculation shown abovewould return 13,983,816.
The numerator equates to the number of ways to select the winning numbers multiplied by the number of ways to select the losing numbers.
The total number of combinations giving that result is, as stated above, the first number multiplied by the second.
The generalisation of this formula is called the.
The odds of a play ticket idea sites to play games and win money free online excellent all 8 numbers is simple to calculate and is illustrated by the following math.
The Trillion Coins lottery is a pay-out-on-every-drawing lotto game.
The odds are dependent on the total number of tickets that are played.
The player who matches the most of the picked numbers wins.
If the powerball is drawn from a pool of numbers different from the main lottery, the odds are multiplied by the number of powerballs.
For example, in the 6 from 49 lottery, given 10 powerball numbers, then the odds of getting a score of 3 and the powerball would be 1 in 56.
Another example of such a game isalbeit with different jackpot odds.
Where more than 1 powerball is drawn from a separate pool of balls to the main lottery for example, in the gamethe odds of the different possible powerball matching scores are calculated using the method shown in the "" section 5 balls and the bonus see more other words, the powerballs are like a mini-lottery in their own rightand then multiplied by the odds of achieving the required main-lottery score.
If the powerball is drawn from the same pool of numbers as the main lottery, then, for a given target score, the number of winning combinations includes the powerball.
For games based on the such as theafter the 6 main balls are drawn, an extra ball is drawn from the same pool of balls, and this becomes the powerball or "bonus ball".
An bonus accrual fixed and prize is given for matching 5 balls and the bonus ball.
In the 5-from-90 lotto, the minimum https://deposit-casino-free.website/and/us-money-trivia-questions-and-answers.html of tickets that can guarantee a ticket with at least 2 matches is 100.
Therefore, the probability of any is the of the outcomes of the event.
This makes it easy to calculate quantities of interest from.
See for further explanation of terminology.
In this case, the may be used.
Archived from on 2016-10-21.
Journal of Combinatorial Designs.
By using this site, you agree to the and.
Wikipedia® is a registered trademark of thea non-profit organization.


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