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   GMAT 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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   GMAT 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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   GMAT Probability Guide
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spacer left_arrow Ch 1: Simple Probability
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spacer active_arrow Ch 2: Multiple Events
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spacer left_arrow Ch 3: Independent Events
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spacer left_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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   GMAT Prep Course
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Chapter 2: Probability of Multiple Events (Advanced)
 
 

The only vocabulary you’ll ever need: “And” and “Or”
There are two ways events can happen together in the same probability problem: either they could both happen separately or they must happen together.


A) Scenario 1 – “Or”:
If both events do not necessarily have to occur together, an “or” may be used as in:

I will be happy today if I win the lottery OR have email.

“OR” means that we add probabilities together to get a higher overall probability.


Example 4
John will win $100 if, from a deck of 52 standard playing cards, he chooses either a 7 or a 9 when pulling a single card from the deck. What is the probability that John will win $100?



Answer:
Start by noticing the word “or” in the question. How can John win? He can win by pulling out either a 7 or a 9. His chances of doing that are higher than if he could win only by pulling out a 7. In that case, he’d only have 4 cards that would make him win $100 (because there are 4 7's in a standard deck), now he has 8 cards. To find the total probability, we need to figure out the probability of each event and then add the together.

So, what is


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 Chapter 3: Independent and Dependent Events