Good Night Dallas, Texas wrote:Rorschach wrote:Good Night Dallas, Texas wrote:There are 1000 independent lotteries. Each lottery has 1000 tickets and one drawn ticket wins each lottery.

If you buy a ticket for each lottery - 1000 tickets in total - what is the probability that you win AT LEAST one of the lotteries?

Aargh!

I can't remember how to calculate it. I know it isn't 1,000 in 1,000 but it has to be better than one in a thousand. I'm stuck there at the moment.

Calculate the probability that you don't win any of the 1000 lotteries.

Actually, I've got a bit of a formula for working it out forming in my head. I don't have time to pursue it right now but I'll get back to this later today.