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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 award
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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 = 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 = = 9.2544E-09. ANSWER
Solved.