Quote:
Originally Posted by Matt L
You're missing the main point. The powerball does not consist of seven draws. It's a SINGLE draw of seven balls. One event, not seven, as far as the probability is concerned.
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This is where you are wrong. It *does* consist of 6 draws plus the draw for the powerball from a separate bin. The numbers drawn from a single bin constitute separate events and the calculation of the odds is done that way. Each drawing affects the subsequent draw by reducing the field.
The odds of drawing a number the first pick are 1/53, the odds of drawing that number the 6th pick (if it has not already been drawn) are 1/48.
What are the odds for a game as you envision it?