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The probability of rain

The probability of rain on each of the five days is 1/6, except on the first day , when it is 2/5,and on the last day when it is 4/5.what is the probability that rain will occur on at least one of the five days?
a. 1/675
b. 5/72
c. 5/27
d. 22/27
e. 67/72

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Written by Take GRE Team on September 8th, 2008 with 15 comments.
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The probability of rain on each of the five days is 1/6, except on the first day , when it is 2/5,and on the last day when it is 4/5.what is the probability that rain will occur on at least one of the five days?
a. 1/675
b. 5/72
c. 5/27
d. 22/27
e. 67/72

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GRE Question of the Day by Take GRE Team on September 8th, 2008 with 15 answers.
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15 Answers

Read the answer left by other GRE Takers below, or:

Get your own gravatar by visiting gravatar.com jesyy
#1. September 22nd, 2007, at 12:47 PM.

hi ans is E.
here’s the expl..
p(rain to occur>=1)=1- p(rain to occour

Get your own gravatar by visiting gravatar.com jesyy
#2. September 22nd, 2007, at 12:47 PM.

hi ans is E.
here’s the expl..
p(rain to occur>=1)=1- p(rain not to occour

Get your own gravatar by visiting gravatar.com JKR
#3. September 22nd, 2007, at 6:30 PM.

It’s E.

Pr= 1-(1-2/5)*5/6*5/6*5/6(1-4/5)
=67/72

Get your own gravatar by visiting gravatar.com vasu
#4. September 23rd, 2007, at 11:11 PM.

E.

the above explanations are right.

Get your own gravatar by visiting gravatar.com vidya
#5. September 24th, 2007, at 7:21 PM.

e

Get your own gravatar by visiting gravatar.com Vineet Pandit
#6. October 19th, 2007, at 3:45 PM.

YES IT IS E
THE PROBABILITY THAT IT WILL NOT RAIN ON ANY OF THE DAYS IS 5/72
SO THE PROBABILITY THT IT WILL RAIN ON ATLEAST ONE DAY IS 1-5/72
WHICH IS 67/72

Get your own gravatar by visiting gravatar.com pen name
#7. December 21st, 2007, at 10:51 PM.

Yes its E

Get your own gravatar by visiting gravatar.com Ritinder
#8. September 8th, 2008, at 9:41 PM.

can any1 plz xplain me da logic….i dint und how 2 get da ans

Get your own gravatar by visiting gravatar.com Alexandra
#9. September 9th, 2008, at 2:03 AM.

Would someone please explain why you must indirectly calculate Pr(Rain) = 1-Pr(NoRain) to get Pr(Rain)? Why not just multiply the given probabilities?

Get your own gravatar by visiting gravatar.com James
#10. September 9th, 2008, at 10:20 AM.

how do you calculate the probability of getting tails at least once out of flipping a coin twice? thats the fundamental question that needs in explanation….and in decent english as well…I will never understand why no one on this site can speak english very well…where are you all from?

Get your own gravatar by visiting gravatar.com tara
#11. September 9th, 2008, at 3:48 PM.

i dint understand at all. i hate probability. from where on earth did the 72 come in? can someone explain step by step? thank you

Get your own gravatar by visiting gravatar.com divya valluri
#12. September 9th, 2008, at 7:14 PM.

hey plzz can any1 explain it briefly..got very bad knowldge in permutations,,….plz plz plz explain it..

Get your own gravatar by visiting gravatar.com Charlee
#13. September 10th, 2008, at 2:01 AM.

James:

Solve for: probability of rain, P(r), being greater than or equal to 1 day of the 5.

Problem stated: P(r)=1-P(nr)

We need to subtract the probability of no rain, P(nr), from the probability 1, or chance it will rain all five days, to get the probablity it will rain on one or more days.

Therefore, P(r) = 1-(1-2/5)*(1-1/6)*(1-1/6)*(1-1/6)*(1-4/5)

Do the math: P(r) = 1-5/72
P(r) = 67/72

(The reason you wouldn’t just multiply all the P(r) together is that it would give you the probability of rain every day.)

Get your own gravatar by visiting gravatar.com ahmed
#14. September 11th, 2008, at 3:15 PM.

P(r) = 1-(1-2/5)*(1-1/6)*(1-1/6)*(1-1/6)*(1-4/5)

Do the math: P(r) = 1-5/72
P(r) = 67/72 so itz E

Get your own gravatar by visiting gravatar.com Vikas Kumar
#15. September 12th, 2008, at 1:00 PM.

Yeha… sure.. it is 67/72

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