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Does order matter?
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I got asked the following problem: I have 2 machines. One has 2% probability of breaking and the other one has 3%. What’s the probability that they both break (at the same time)?

I can’t figure out if it should be 0,06% or double it (because you should count one time 0,06% if the first machine breaks first, and sum it to the scenario where the second machine breaks first)

My professor said that the machines can’t be distinguished so order doesn’t matter. If we specified the color of the machines and we could distinguish them then we could double the %

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1 year ago