Multiple Lottery Chance of not winning - Calculation Help
Join Date: Aug 2008
Posts: 116
Hi, I am entering the follow each month
48 tickets in a 1/11 lottery
48 tickets in a 1/54 lottery
160 tickets in a 1/13 lottery
What are my chances of not winning a prize every month?
Thanks for your help
Simon
Join Date: May 2003
Posts: 1,459
If you have 48 tickets for a lottery and each ticket has a 11/12 chance of losing, then for all to lose has a 11/12^48 = 1.03% chance of happening.
If you have 48 tickets for a lottery and each ticket has a 53/54 chance of losing, then for all to lose has a 53/54^48 = 40.77% chance of happening.
If you have 160 tickets for a lottery and each ticket has a 12/13 chance of losing, then for all to lose has a 12/13^160 = 0.0003% chance of happening.
Assuming all three are independant, the chance of all 256 tickets losing is a little over 0.000001%.
Join Date: Aug 2008
Posts: 116
Thanks I appreciate you working that out for me.
