<P> An alternative method of calculating the odds is to note that the probability of the first ball corresponding to one of the six chosen is 6 / 49; the probability of the second ball corresponding to one of the remaining five chosen is 5 / 48; and so on . This yields a final formula of </P> <Dl> <Dd> (n k) = (49 6) = 49 6 ∗ 48 5 ∗ 47 4 ∗ 46 3 ∗ 45 2 ∗ 44 1 (\ displaystyle (n \ choose k) = (49 \ choose 6) = (49 \ over 6) * (48 \ over 5) * (47 \ over 4) * (46 \ over 3) * (45 \ over 2) * (44 \ over 1)) </Dd> </Dl> <Dd> (n k) = (49 6) = 49 6 ∗ 48 5 ∗ 47 4 ∗ 46 3 ∗ 45 2 ∗ 44 1 (\ displaystyle (n \ choose k) = (49 \ choose 6) = (49 \ over 6) * (48 \ over 5) * (47 \ over 4) * (46 \ over 3) * (45 \ over 2) * (44 \ over 1)) </Dd> <P> The range of possible combinations for a given lottery can be referred to as the "number space". "Coverage" is the percentage of a lottery's number space that is in play for a given drawing . </P>

How to work out odds of winning euromillions