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A lottery ticket vendor sells lottery tickets that, when

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A lottery ticket vendor sells lottery tickets that, when [#permalink] New post 09 Jul 2006, 04:32
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A lottery ticket vendor sells lottery tickets that, when scratched, reveal whether or not the holder has won a prize. If each ticket has a 25% chance of carrying a prize, what is the lowest number of tickets that Diane could but that would ensure that grandmother would have at least a 75% chance of experiencing the thrill of winning a prize?

(A) 5 (B) 6 (C) 8 (D) 9 (E) 10
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 [#permalink] New post 11 Jul 2006, 01:20
Maybe if I gave granny a name, people would try the problem. Let's call her Della.
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 [#permalink] New post 11 Jul 2006, 04:47
The formula for not winning with n lottery tickets is (1-1/4)^n=3/4^n^=(3/2^2)^n. This must be smaller than 1/4.
n=5: (3/4)^5=243/1024 < 256/1024=1/4

Therefore, (A) is the correct answer.
  [#permalink] 11 Jul 2006, 04:47
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