SOLUTION: To win the lottery in a certain state you must correctly select 7 distinct numbers from a collection of 41 numbers​ (1 through 41​). You will win if your numbers match
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Question 1109756: To win the lottery in a certain state you must correctly select 7 distinct numbers from a collection of 41 numbers (1 through 41). You will win if your numbers match the winning numbers in any order. What is the probability of winning the lottery?
Found 2 solutions by jorel1380, stanbon:
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
7 numbers chosen from 41 is the same as 41 choose 7, or 22481940 possibilities. Therefore, the probability of matching all 7 numbers is 1/22,481,940
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Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
To win the lottery in a certain state you must correctly select 7 distinct numbers from a collection of 41 numbers (1 through 41). 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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# of winning sets of 7:: 1
# of random sets of 7:: 41C7 = 22481940
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Ans:: Prob = 1/22481940 = 0.00000004448..
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Save your money. You'll be ahead of the game.
Cheers,
Stan H.
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