SOLUTION: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 51)and matching the number on the gold ball​ (1 through 46). What

Algebra ->  Probability-and-statistics -> SOLUTION: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 51)and matching the number on the gold ball​ (1 through 46). What       Log On


   



Question 1205358: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 51)and matching the number on the gold ball​ (1 through 46).
What is the probability of winning the​ minimum award?

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
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In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 51)
and matching the number on the gold ball​ (1 through 46). What is the probability of winning the​ highlight%28cross%28minimum%29%29 award
highlight%28having%29 highlight%28only%29 highlight%28one%29 highlight%28ticket%29 ?
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        The formulation in the post is incorrect - as in thousands other problems at this forum.

        I fixed/repaired/edited it to make sense from nonsense.

        Below is the solution for the fixed/repaired formulation.


In this lottery, the winning configuration is 5 matching numbers from 1 to 51 inclusive 
without looking the order, plus matching 1 number 1 through 46.


There are  C%5B51%5D%5E5 = 2349060  different possible combinations of 5 numbers from white balls 
and 46 possible numbers from gold balls.


So, there are 2349060*46 = 108056760 possible different outcomes; of them, only one outcome wins.


Thus the probability to win this lottery having one ticket is  P = 1%2F108056760 = 9.2544E-09.    ANSWER

Solved.