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Probability of winning the lottery math
This gives the following results: Score Calculation Exact Probability Approximate Decimal Probability Approximate 1/Probability 0 ( 6 0 ) ( 43 6 ) ( 49 6 ) displaystyle 6 choose 043 choose 6 over 49 choose 6 435,461/998,844.436.2938 1 ( 6 1 ).
Displaystyle beginalignedoperatorname I _X(textlose) -log _2p_X(textlose)-log _2!tfrac.0317times 10-7text shannons.
The probability 99 slot machines review of winning for this case is 1 divided by the odds which equals.In order to make it more relevant to me, I decided to base it on the Grandlotto 6/55, the lottery game with the biggest prize money here in the Philippines.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.If we use this formula to calculate the probability (and the odds) of winning the Grandlotto 6/55 with only x matching numbers, we get the following.As described in the " other scores " section friv money games above, the number of ways one can obtain a score of 5 from a single ticket is ( 6 5 ) ( 43 1 ) 258 textstyle 6 choose.Dividing 10,068,347,520 by 720 gives 13,983,816, also written as 49!We will now use the permutation formula to get the following: Compare these two results play wolf run slots online free and you will see that the odds for getting the winning combination where order matters has 3 additional zero's!This means that the probability of correctly predicting 2 numbers drawn from 49 in the correct order is calculated as 1 in.This works out to 10,068,347,520, which is much bigger than the 14 million stated above.Because the risk is greater for games where order is required, this implies that the reward must also be higher.3 Information theoretic results edit Further information: Quantities of information As a discrete probability space, the probability of any particular lottery outcome is atomic, meaning it greater than zero.For example, the information content of any event easy to calculate, by the formula I ( E ) : log Pr ( E ) log ( P ).The problem is to find the total number of outcomes.The general formula for B displaystyle B matching balls in a N displaystyle N choose K displaystyle K lottery with one bonus ball from the N displaystyle N pool of balls is: K B N K ( K B ) ( N K.
This makes it easy to calculate quantities of interest from information theory.
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