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) About Me  (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

%2859%2F60%29%5En+%3C+0.02

Use logarithms or a graphing calculator....

(ANSWER: 233)