The probability that it will rain in NYC on any given day in : Quant Question Archive [LOCKED]
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# The probability that it will rain in NYC on any given day in

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

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07 Aug 2006, 15:22
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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07 Aug 2006, 16:06
6C3*(0.3)^3*(0.7)^3

Inclusive of July 5 and 10
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07 Aug 2006, 16:21
Probability raining for three out of 6 days = 3x3x3x7x7x7/10x10x10x10x10x10

Pick 3 days out of 6 in 20 ways

Prob = 20 x 27x343/10^6.
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08 Aug 2006, 00:47
Probability that it rains on three days = 0.3*0.3*0.3*0.7*0.7*0.7

Number of ways to select 3 days on which it will rain = 6C3 = 20

Hence final P = 20* 0.3*0.3*0.3*0.7*0.7*0.7
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08 Aug 2006, 07:03
Using binomial distribution

6C3 * (0.3)^3 * (0.7)^3
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08 Aug 2006, 07:03
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