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# The partially completed probability tree diagram shows the chances of

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Math Expert
Joined: 02 Sep 2009
Posts: 58411
The partially completed probability tree diagram shows the chances of  [#permalink]

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23 Mar 2018, 00:02
00:00

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?

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

Attachment:

2018-03-23_1101.png [ 40.38 KiB | Viewed 724 times ]

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

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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

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Joined: 23 Oct 2013
Posts: 44
Re: The partially completed probability tree diagram shows the chances of  [#permalink]

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

probability of rain * concert will take place
=.6*.25
=15%
Manager
Joined: 01 Feb 2017
Posts: 243
Re: The partially completed probability tree diagram shows the chances of  [#permalink]

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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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Joined: 20 Dec 2014
Posts: 36
Re: The partially completed probability tree diagram shows the chances of  [#permalink]

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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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