approach suggests that his chance of winning is about 10 in a billion, .00000001. But, as in the previous example, this approximation fails to account correctly for multiple wins.
More importantly it fails to account for the fact that he faces the same odds each time. So each attempt is the same one in a billion. He would have to pay the lottery ten times with ten tickets on the same day to improve his chances to ten in one billion, as the example suggests.
