SOLUTION: In one​ lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls​ (1 through 41 ​) and matching the number on the gold

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Question 1188556: In one​ lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls​ (1 through 41 ​) and matching the number on the gold ball​ (1 through 32). If one ticket is​ purchased, what is the probability of winning the​ jackpot?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
In one​ lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls​ (1 through 41 ​) and matching the number on the gold ball​ (1 through 32). If one ticket is​ purchased, what is the probability of winning the​ jackpot?
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For the white balls:
1st choice is 1 of 41, then 1 of 40, etc
= 41*40*39*38*37
But there are 5*4*3*2*1 = 120 ways to pick the 1st 5
---> 41*40*39*38*37/120 = 749398
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Multiply that by 32 for the gold ball.

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