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What is Jackpot machine?

The author purchased a slot machine configured so that there is a 1/2000 probability of winning the jackpot on?

  • The author purchased a slot machine configured so that there is a 1/2000 probability of winning the jackpot on any individual trial. Although no one would seriously consider tricking the author, suppose that a guest claims that she played the slot machine 5 times and hit the jackpot twice. Find the probability of at least 2 jackpots in 5 trials.

  • Answer:

    Your other answer is close but you asked for the probability of AT LEAST 2 jackpots and that answer is for exactly two jackpots. You would need to add the probability of 3, 4 and 5 jackpots. Or you could use his method and compute the probability of 0 and 1 jackpots and subtract from 1. That would be a lot easier. Or you could find a binomial calculator on the internet and put in the problem and get a probability of 0.0000025

mrbattle... at Yahoo! Answers Visit the source

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You can think of this as a Bionomial problem. The experiment consists of a fixed number, n, of Bernoulli trials, trials that end in success(you win) or failure(you lose). You need to use the binomial distribution which is: f(x)=(n choose x) * p^x * (1-p)^(n-x) So for your case, n=5 trials x=2 successes p=1/2000 1-p=1-(1/2000)=1999/2000 Therefore, f(x)=(5 choose 2) * (1/2000)^2 * (1999/2000)^(5-2) = 2.496*10^-6 As you can see, the probability is not very likely haha. Hope this helps! :) Good luck! Tell me if I end up getting this right, I'm almost sure it's correct!

Joel Y

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