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b0it0i
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Homework Statement
4 envelopes contain 4 different amounts of money. you are allowed to open them one by one, each time deciding whether to keep the amount or discard it and open another envelope. once an amount is discarded, you are not allowed to go back and get it later. compute the probability that you get the largest amount under the following strategy:
you open the first envelope, note that it contains the amount x, discard it and take the next amount which is larger than x (if no such amount shows up, you must take the last envelope)
Homework Equations
The Attempt at a Solution
yeah... I'm completely lost on this problem. the only progress I've made is that the total number of outcomes must be 24, since it's a permutation problem without replacement so it should be (4)3 = 4 x 3 x 2 = 24
i'm not sure how you would find the number of favorable outcomes. any hints?
the book says the answer should be 11/24