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?
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It's 1/60, 1/59, 1/58, etc
---> 1 in 60*59*58*57*56*55 =~ 3.6046e10
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But, since the 6 numbers can be picked in any order, divide by:
6*5*4*3*2*1 = 720
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--> 1 in 50063860
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Your chances are about the same with or without a ticket.
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Or, it's 50/50 --- you win or you don't.
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