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# the chance for no rain on any given day is 60%. What is the

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CEO
Joined: 21 Jan 2007
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the chance for no rain on any given day is 60%. What is the [#permalink]  09 Dec 2007, 11:39
the chance for no rain on any given day is 60%. What is the probability that it rains on 3 out of 5 consecutive days?
Manager
Joined: 29 Jul 2007
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P(rain) = 60%
P(no rain) = 40%

So the way i read the problem is that it rains 3 out of the 5 days, not 3 consecutive days out of the 5.

If so, then C(5,3) * 3/5*3/5*3/5*2/5*2/5 = [(3*2)^3]/5^4
Intern
Joined: 13 Jun 2007
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Skewed I agree with you answer but not sure of the assumption.
In your answer whether 5 days were consecutive or not wouldn't matter.

if it reads 3 consecutive days out of 5 consecutive days then
C(3,1) * 3/5*3/5*2/5*2/5*2/5
Manager
Joined: 29 Jul 2007
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alexperi wrote:
Skewed I agree with you answer but not sure of the assumption.
In your answer whether 5 days were consecutive or not wouldn't matter.

if it reads 3 consecutive days out of 5 consecutive days then
C(3,1) * 3/5*3/5*2/5*2/5*2/5

My assumption was in regard to the number of days it rains. Should've probably phrased it as "it rains 3 out of 5 consecutive days, not 3 consecutive days out the 5 consecutive days".
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