SOLUTION: In a lottery, the probability of the jackpot being won in any draw is 1/60
How many consecutive draws need to be made for there to be a greater than 98% chance that at least on
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Question 1144397: In a lottery, the probability of the jackpot being won in any draw is 1/60
How many consecutive draws need to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won?
Answer by greenestamps(13206) (Show Source): You can put this solution on YOUR website!
The probability that the jackpot is NOT won on each draw is 59/60.
The probability that the jackpot is not won on n consecutive draws is (59/60)^n.
A 98% chance that at least one jackpot prize has been won means there is a 2% chance that none has been won.
So you want to know the smallest integer n for which
Use logarithms or a graphing calculator....
(ANSWER: 233)
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