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# Probability

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Intern
Joined: 25 Jan 2018
Posts: 1

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25 Jan 2018, 13:47
What would be the probability that randomly choosing four states from the top 7 murder states would actually be the top 4 states for murders in exact correct decreasing order CA TX PA NY

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Intern
Joined: 09 Jan 2018
Posts: 3

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25 Jan 2018, 15:07
1/(7*6*5*4) = 1/840

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Math Expert
Joined: 02 Aug 2009
Posts: 7212

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25 Jan 2018, 19:04
Vhudson08 wrote:
What would be the probability that randomly choosing four states from the top 7 murder states would actually be the top 4 states for murders in exact correct decreasing order CA TX PA NY

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Ways to pick 4 states = 7*6*5*4*
Only one of these will be in increasing order or in decreasing order.
Probability to pick this = 1/(7*6*5*4*)
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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VP
Joined: 27 Mar 2010
Posts: 1066
Location: India
GPA: 3.31

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26 Jan 2018, 00:20
Clearly, order matters here (since you want the states in exact correct decreasing order)

Total Number of ways to pick four states out of 7 = P(7,4)

Only one of these represents the correct order (CA TX PA NY).

So, probability = 1/P(7,4)
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Manager
Joined: 23 Jan 2018
Posts: 63
Concentration: Operations, Strategy
WE: Engineering (Manufacturing)

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02 Feb 2018, 19:44
1/(7X6X5X4)
Re: Probability &nbs [#permalink] 02 Feb 2018, 19:44
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# Probability

Moderator: souvonik2k

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