SOLUTION: To win the lottery in a certain state you must correctly select 6 distinct numbers from a collection of 60 numbers (1 through 60). You will win if your numbers match the winning nu
Algebra.Com
Question 1109746: To win the lottery in a certain state you must correctly select 6 distinct numbers from a collection of 60 numbers (1 through 60). You will win if your numbers match the winning numbers in any order. What is the probability of winning the lottery?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
To win the lottery in a certain state you must correctly select 6 distinct numbers from a collection of 60 numbers (1 through 60). You will win if your numbers match the winning numbers in any order. What is the probability of winning the lottery?
-----------
It's 1/60, 1/59, 1/58, etc
---> 1 in 60*59*58*57*56*55 =~ 3.6046e10
---
But, since the 6 numbers can be picked in any order, divide by:
6*5*4*3*2*1 = 720
====================
--> 1 in 50063860
------------------
Your chances are about the same with or without a ticket.
---
Or, it's 50/50 --- you win or you don't.
RELATED QUESTIONS
To win the lottery in a certain state you must correctly select 7 distinct numbers from a (answered by jorel1380,stanbon)
To win at LOTTO in one state, one must correctly select 4 numbers from a collection of (answered by MathLover1,Edwin McCravy)
To win at LOTTO in one state, one must correctly select 4 numbers from a collection of (answered by ikleyn)
to win at LOTTO in one state,one must correctly select 4 numbers from a collection of 45... (answered by jim_thompson5910)
To win at LOTTO in one state, one must correctly select 4 numbers from a collection of (answered by josmiceli,Edwin McCravy,ikleyn)
to win a lotto in one state, one must correctly select 6 numbers from a collection of 46... (answered by Maths68)
to win at LOTTO in one state, one must correctly select 4 numbers from a collection of 61 (answered by checkley77)
To win a state lottery, a player must correctly select six different numbers from 1 to... (answered by jorel1380)
to win the lotto in one state, one must correctly select 8 numbers from a collection of... (answered by jorel1380)