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

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(52867)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Solved.

RELATED QUESTIONS
In a lottery game, a player picks six numbers from 1 to 53. If 5 of the 6 numbers matches (answered by Edwin McCravy)

In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match (answered by ikleyn)

Lottery mathematics In a lottery game, a player picks six numbers from 1 to 48. If 4... (answered by stanbon)

PLEASE HELP!!!!!!!! Counting Methods In a lottery game, a player picks six... (answered by robertb)

PLEASE HELP! I NEED THIS ANSWER PLEASE!!!!!! In a lottery game, a player picks six... (answered by Theo)

In a lottery game, a player picks six numbers from 1 to 26. If the player matches all six (answered by ikleyn)

In a lottery game, a player picks six numbers from 1 to 38. If 5 of the 6 match the... (answered by ikleyn,greenestamps)

In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six (answered by VFBundy)

In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six (answered by MathLover1)