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The chance of rain on any given day in Tel-Aviv is 50%. What

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The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 12 Nov 2012, 17:29
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The chance of rain on any given day in Tel-Aviv is 50%. What is the probability that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?

A. 15/64
B. 30/64
C. 1/2
D. 1/4
E. 52/64
[Reveal] Spoiler: OA
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 12 Nov 2012, 22:25
anon1 wrote:
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?


15/64
30/64
1/2
1/4
52/64

chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64
Chosing 4 days out of 6 = 6!/(4!*2!) = 15

chances of rain on exactly 4 days out of 6 days = 15/64

Ans A it is.
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 12 Nov 2012, 23:53
Thanks Vips, that made sense to me. The problem I had was not recognizing

"choosing 4 days out of 6"
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 13 Nov 2012, 03:01
Expert's post
anon1 wrote:
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?

A. 15/64
B. 30/64
C. 1/2
D. 1/4
E. 52/64


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Probability chapter of our Math Book:
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Hope it helps.
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 13 Nov 2012, 07:27
Yes it does, thank you bunuel
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 13 Nov 2012, 16:38
Vips0000 wrote:
anon1 wrote:
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?


15/64
30/64
1/2
1/4
52/64

chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64
Chosing 4 days out of 6 = 6!/(4!*2!) = 15

chances of rain on exactly 4 days out of 6 days = 15/64

Ans A it is.



Chosing 4 days out of 6 = 6!/(4!*2!) = 15

Is this combinations or permutations?
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 14 Nov 2012, 21:57
Quote:


Chosing 4 days out of 6 = 6!/(4!*2!) = 15

Is this combinations or permutations?


This is from formula of Combinations 6C2=6!/(4!*2!)

From Permutations: RRRRNN (R is rain, N - no rain). It comes to 6! divided by 4!*2!.
The same.
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Last edited by fukirua on 15 Nov 2012, 04:59, edited 1 time in total.
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 15 Nov 2012, 01:45
probability of getting k results out of n -nCk/2^n

6C4/2^4
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What [#permalink] New post 30 Jun 2014, 00:06
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Re: The chance of rain on any given day in Tel-Aviv is 50%. What   [#permalink] 30 Jun 2014, 00:06
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