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   GRE Permutation Guide
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spacer left_arrow Ch 1: Permutation Introduction
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spacer left_arrow Ch 2: Problem Variations
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   GRE Combination Guide
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spacer left_arrow Ch 1: What is a Combination?
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spacer left_arrow Ch 2: Permutation / Combination?
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spacer left_arrow Ch 3: Groups/Pairings
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   GRE Probability Guide
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spacer left_arrow Ch 1: Simple Probability
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spacer left_arrow Ch 2: Multiple Events
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spacer left_arrow Ch 3: Independent Events
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spacer active_arrow Ch 4: Working Backwards
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spacer left_arrow Ch 5: A Different Method
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spacer left_arrow Ch 6: Extra Questions
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Chapter 4: Working Backwards
 
 

Let’s go right back to the first example in this chapter:

Let’s say you have a single six-sided die. If you role it, what is the probability you will roll a 1?

If you remember, the answer was 1/6.

Now let’s put some money on this. You’re in Vegas, and you’re going to win $500 if the die lands on 1. When it does, you just won $500! Let’s call that a success. You had a 1/6 chance to achieve that success.

But you decide to let it ride! You’re convinced it can happen again. You go double or nothing, betting again on 1. This time, the die comes up on something else! You’ve failed. And since 5 out of the 6 outcomes would have caused that failure, the probability to fail is 5/6.

 


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 Chapter 5: A Different Method