SOLUTION: In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches those drawn, the player wins the second prize. What is the probability of winning this pri

Algebra ->  Probability-and-statistics -> SOLUTION: In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches those drawn, the player wins the second prize. What is the probability of winning this pri      Log On


   

Question 1204334: In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches those drawn, the player wins the second prize. What is the probability of winning this prize?
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
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In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches those drawn,
the player wins the second prize. What is the probability of winning this prize?
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        Similar problem (a TWIN) was solved at this forum several years ago: see the link
        https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1061914.html

        So, I will follow this solution, by modifying it, where it is needed. 


           Solution


# of groups of 6 numbers:: 48C6
# of winning groups of 6 numbers:: 1
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# of sets of 5 numbers in the winning set:: 6C5 = 6.
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P(getting a winning set of 5) = (6C5)/(48C6) = 6/12271512 = 4.88937E-07.    ANSWER

Solved.