Flipping a coin and playing lotto In a recent discussion, the question came up, what the odds would be in a two staged probability experiment where first a coin is flipped and then one plays lotto. And wether winning the coin bet influences the chance of winning in lotto. If I declare the experiment as "being the person that won the flipped coin and won in lotto", the two events are linked, right? Otherwise they are not.

If you have to win both the coin flip and the lotto, you chances are the product of the chance of each one as they are independent. So the probability is half the chance of winning the lotto. Is there any more to the question?