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UK National Lottery Odds Calculations

Overview | Odds Calculations

Winning the lottery has everything to do with luck - and even more to do with odds. Finding the perfect combination of the two is how winning tickets are born.

How To Calculate UK National Lottery Odds

The following calculations are based on the general guide on how to calculate lottery odds, and are based on a draw method of 6 balls in addition to a bonus ball, each selected out of 49 available balls (as per the UK National Lottery).

Tier 1: The Jackpot

Winning Ticket Requirement: 6 numbers have to match the 6 main balls drawn


Note that the bonus ball is not taken into account, although it is represented for referential purposes

This calculation proves that the odds of winning the UK National Lottery jackpot are 1 in 13,983,816

Tier 2: 5 Balls + Bonus Ball

Winning Ticket Requirement: 5 numbers have to match any 5 of the 6 main balls, and the bonus ball


Note that the bonus ball is taken out of 43, as 43 balls remain after the 6 main balls have been chosen from the original 49

This calculation proves that the odds of winning the second tier prize in the UK National Lottery are 1 in 2,330,636

Tier 3: 5 Balls

Winning Ticket Requirement: 5 numbers match any 5 of the 6 main balls drawn


Note that although the bonus ball is not required to win, we take it into account as combinations including it must be excluded from consideration. The bonus ball is taken out of 43, and 43 balls remain after the selection of the initial 6 out of 49

This calculation proves that the odds of winning the third tier prize in the UK National Lottery are 1 in 55,492

Tier 4: 4 Balls

Winning Ticket Requirement: 4 numbers match any 4 of the 6 main balls drawn


The bonus ball need not be considered in the calculation of the odds of this tier

This calculation proves that the odds of winning the fourth tier prize in the UK National Lottery are 1 in 1,033

Tier 5: 3 Balls

Winning Ticket Requirement: 3 numbers match any 3 of the 6 main balls drawn


The bonus ball need not be considered in the calculation of the odds of this tier

This calculation proves that the odds of winning the fifth tier prize in the UK National Lottery are 1 in 57

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