|Posted: April 25, 2006, 2:56 am - IP Logged|
I am assuming that the UK lotto is a 6 of 49 game and that your Pick 3 Hot Picks entails picking three specific numbers between 1 through 49 and matching them out of the six drawn by the lottery.
There is ((49!)/((49-6)!))/(6!)=13,983,816 ways to pick (or draw) six numbers from the pool of 49. In case you didnt know, the exclamation mark in the formula above means Factorial in mathematics.
There is also ((49!)/((49-3)!))/(3!)=18,424 ways to choose or draw 3 numbers from 49.
Since there are 6 numbers being drawn from the pool, there are 20 different three digits combinations that can be made from those 6 (that is, without any regard to order, i.e. 1-7-29 is the same as 29-7-1) ((6!)/((6-3)!))/(3!)=20
Now, your odds of guessing 3 from 49 are 1 in 18,424, but since there are 20 different 3 digit combos drawn every game (made from the six balls drawn) then your odds are actually 18,424/20=921.2, which can be rounded up to 922.
~Probability=Odds in Motion~