Department of Energy Argonne National Laboratory Office of Science NEWTON's Homepage NEWTON's Homepage
NEWTON, Ask A Scientist!
NEWTON Home Page NEWTON Teachers Visit Our Archives Ask A Question How To Ask A Question Question of the Week Our Expert Scientists Volunteer at NEWTON! Frequently Asked Questions Referencing NEWTON About NEWTON About Ask A Scientist Education At Argonne Simple combination problem, probability problem
Name: yendor
Status: N/A
Age: N/A
Location: N/A
Country: N/A
Date: Around 1995

What is the probability of winning the Texas lottery by entering once? This is the state lottery where six numbers between 1 and 50 are chosen.

The number of combinations of 6 items taken from a pool of 50 is:
  ------  = 15,890,700  
  44! 6!

Only 1 of these will be the winning combination, so you have 1 chance in 15,890,700 of winning with a single lottery ticket.

Therefore, the probability is 1/15,890,700 or about 0.000000063.


Click here to return to the Mathematics Archives

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.

For assistance with NEWTON contact a System Operator (, or at Argonne's Educational Programs

Educational Programs
Building 360
9700 S. Cass Ave.
Argonne, Illinois
60439-4845, USA
Update: June 2012
Weclome To Newton

Argonne National Laboratory