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The partially completed probability tree diagram shows the chances of

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The partially completed probability tree diagram shows the chances of  [#permalink]

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New post 23 Mar 2018, 00:02
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (01:06) correct 15% (00:52) wrong based on 60 sessions

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The partially completed probability tree diagram shows the chances of an outdoor concert taking place or being canceled when rain might or might not occur. What is the probability that the concert takes place given that it rains?

Image


(A) 2%
(B) 15%
(C) 25%
(D) 38%
(E) 85%


Attachment:
2018-03-23_1101.png
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Re: The partially completed probability tree diagram shows the chances of  [#permalink]

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New post 23 Mar 2018, 00:08
Bunuel wrote:
The partially completed probability tree diagram shows the chances of an outdoor concert taking place or being canceled when rain might or might not occur. What is the probability that the concert takes place given that it rains?


(A) 2%
(B) 15%
(C) 25%
(D) 38%
(E) 85%




Since the calculation we're asked to do is straightforward, we'll just do it.
This is a Precise approach.

Since we know that it rains, we can ignore the bottom part of the diagram.
Looking inside the 'rain' part of the diagram, 75% of cancellation means 25% of no cancellation

(C) is our answer.
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Re: The partially completed probability tree diagram shows the chances of  [#permalink]

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New post 23 Mar 2018, 11:28
i will go with 15%

probability of rain * concert will take place
=.6*.25
=15%
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Re: The partially completed probability tree diagram shows the chances of  [#permalink]

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New post 24 Mar 2018, 00:02
P(rain) x P(concert)=
0.6 x 0.25= 0.15

Hence, 15%
Ans B

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Re: The partially completed probability tree diagram shows the chances of  [#permalink]

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New post 24 Mar 2018, 00:42
sameeruce08 wrote:
i will go with 15%

probability of rain * concert will take place
=.6*.25
=15%


The word given is problematic. If the wordings May hve added a uncertainty that it May rain then answer would have been 15%
Have selected 15 but not sure could be 25 also
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Re: The partially completed probability tree diagram shows the chances of   [#permalink] 24 Mar 2018, 00:42
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