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You are answering a different question to that which is posed. Envelopes don't have memories. The question asks what is the probability of success ON the 5th try. You could draw an envelope a million times but at each trial there will always be 8 envelopes and 1 with the money if you are doing...

Think about it. If you replace the envelope you start over - each trial is independent. The prob. is 1/8.

With or without replacement does not matter in this case because there is only one envelope with the money in it, the outcome is binary, and all the envelopes are the same.

Hi The answer is right because it should not matter how many tries you make: overall the probability will always be the same, 1/8, always. You should not be "luckier" if you only had, say 3 tries. Formally if N is the total number of items and you select without replacement k items, the overall...

Hi, The question is strangely worded - doesn't it just mean x>19 and x-19>0 as the two equivalent ways? And x<-7 and x+7<0 for the other one?