Hello,(adsbygoogle = window.adsbygoogle || []).push({});

So I've been trying to solve this problem for a while and I can't get my head around it.

"Suppose we choose a positive integer at random, according to some unknown distribution. Suppose we know P({1,2,3,4,5}) = 0.3, P({4,5,6}) = 0.4 and P({1}) = 0.1"

All I've managed to get so far is that P({2,3,4,5}) = P({1,2,3,4,5}) - P({1}) = 0.2

I'm sure that's not a good upper bound because there's probably a way the use the fact that the union of {1,2,3,4,5} and {4,5,6} is {4,5}.

Thanks in advance for your help!

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# Largest and smallest possible values of a probability question

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