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. Find the probability of exactly 2 jackpots in 5 trials

Finding the Probability of exactly 2 Jackpots in 5 Trials:

We are given that the probability of winning a jackpot on any individual trial is 1/2000. However, this is just for one trial. To get the probability, we need to transform the question into numbers. We can use this "formula" to do this:

TImes Winning Jackpot / Number of Trials

If we use this formula, we can create a fraction of 2/5. Now, all that is left is to multiply 2/5 by 1/2000 to get 2/10000, which can be simplified to 1/5000. This means that the guest had a 1 in 5000 chance of winning 2 jackpots out of 5 trials.

Finding The Probability of at least 2 jackpots in 5 trials

The answer to this problem is basically the same as before, but the answer should be phrased differently. Your new answer would be that the guest had less than 1 in 5000 chance of winning 2 jackpots in 5 trials.