SOLUTION: A lottery is run using balls labeled 1 - 100. To win you must pick the seven balls chosen randomly without replacement (numbers cannot be picked twice). What is the probability o

Algebra ->  Probability-and-statistics -> SOLUTION: A lottery is run using balls labeled 1 - 100. To win you must pick the seven balls chosen randomly without replacement (numbers cannot be picked twice). What is the probability o      Log On


   



Question 278202: A lottery is run using balls labeled 1 - 100. To win you must pick the seven balls chosen
randomly without replacement (numbers cannot be picked twice). What is the
probability of winning the lottery?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A lottery is run using balls labeled 1 - 100. To win you must pick the seven balls chosen
randomly without replacement (numbers cannot be picked twice). What is the
probability of winning the lottery?
--------------------------
There is one set of seven balls that wins
There are 100C7 = 16007560800 sets of seven balls possible.
----
The probability of getting that set of seven balls is
1/16,007,560,800
---
That answer is not exactly correct. My calculator only shows
nine digit places but indicates there are two more.
--------------------------------------------------
Cheers,
Stan H.