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A million people are signed up? How long do you have to wait on average to win a one in a million daily lottery.
by dfc 15y ago
A million people are signed up? How long do you have to wait on average to win a one in a million daily lottery.
- StavrosK 15y agoHalf a million days?
- wildmXranat 15y agoI'm about 50/50 sure you're correct.
- defen 15y agoAssuming people can "win" more than once and no one else signs up, the expected wait would be 1 million days. Edit: Guess I need to explain the math since I've been downvoted. Let X be the random variable representing the number of draws until you are the winner. The probability that X = k is (999999/1000000)^(k-1) * (1/1000000) From the definition of expected value: E = Sum(n*P(X=n), n, 1, Infinity) From here it's a simple matter of arithmetic to calculate E. Here's the Wolfram Alpha link since I don't feel like typing up math in this input box (shortened so as not to overflow the layout): http://bit.ly/HzRUUt http://bit.ly/HzRUUt
- rprospero 15y agoTrue, but the median wait time would be merely 693147 days, or around 1900 years. 1-(999999/1000000)(693147) = 0.5
- shasta 15y agoDepends on how many times you register.
- ajuc 15y agoDepends on how many times everybody register :)