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# The probability that it will rain in NYC on any given day in

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Founder
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The probability that it will rain in NYC on any given day in [#permalink]

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04 Feb 2003, 14:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The probability that it will rain in NYC on any given day in July is 30%. what is the probability that it will rain on exactly 3 days from July 5 to July 10 ?

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SVP
Joined: 03 Feb 2003
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04 Feb 2003, 22:50
Yeah... Not that easy...

There are six days from 5th to 10th of July; 3 rainy and 3 nonrainy
We need take any three - C(3,6)=20
Each combination of rainy days defines nonrainy ones.

P(3 rainy days and 3 nonrainy) = 0.3*0.3*0.3*0.7*0.7*0.7*20=0.18522

Am I right?

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Founder
Joined: 04 Dec 2002
Posts: 15997

Kudos [?]: 29372 [0], given: 5301

Location: United States (WA)
GMAT 1: 750 Q49 V42

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04 Feb 2003, 23:01
stolyar wrote:
Yeah... Not that easy...

There are six days from 5th to 10th of July; 3 rainy and 3 nonrainy
We need take any three - C(3,6)=20
Each combination of rainy days defines nonrainy ones.

P(3 rainy days and 3 nonrainy) = 0.3*0.3*0.3*0.7*0.7*0.7*20=0.18522

Am I right?

Yes. I don't know about the result but the multiplication is right.

Good job.

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Manager
Joined: 12 Mar 2003
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03 Aug 2003, 14:29
Is this not a classic example of Binomial Distribution, thus

6C3*(.3)^3*(.7)^3 ???

Is this also not the same as flip a coin 6 times and getting 3 heads ?

Last edited by tzolkin on 04 Aug 2003, 11:08, edited 1 time in total.

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Eternal Intern
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03 Aug 2003, 14:36
Tzolkin,

Thanks for a setting a good example in kind manners.

_________________

Ride em cowboy

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HI   [#permalink] 03 Aug 2003, 14:36
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# The probability that it will rain in NYC on any given day in

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