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75% of the fruit trees in an orchard are apple trees, and 20% of those

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Joined: 27 May 2014
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75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink]

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New post 25 Oct 2017, 18:52
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  5% (low)

Question Stats:

90% (00:30) correct 10% (00:19) wrong based on 51 sessions

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75% of the fruit trees in an orchard are apple trees, and 20% of those trees produce yellow apple. If one tree is to be selected at random, what is the probability that the tree selected produces yellow apple?

(a) 0.15
(b) 0.20
(c) 0.25
(d) 0.50
(e) 0.55
[Reveal] Spoiler: OA

Kudos [?]: 194 [0], given: 83

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D
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Posts: 5347

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Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink]

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New post 25 Oct 2017, 19:26
saswata4s wrote:
75% of the fruit trees in an orchard are apple trees, and 20% of those trees produce yellow apple. If one tree is to be selected at random, what is the probability that the tree selected produces yellow apple?

(a) 0.15
(b) 0.20
(c) 0.25
(d) 0.50
(e) 0.55



Hi....
75% produce apples, out of which 20% or 75*20/100 % or 15% produce yellow apples.
So PROBABILITY of choosing one of those = 15/100=0.15
A
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Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink]

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New post 25 Oct 2017, 21:39
20% of 75% = 1/5 * 3/4 = 3/20 of total

This means out of every 20 trees, 3 will give yellow apple. Hence the probability is 3/20 or 0.15

Hence A answer

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Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink]

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New post 28 Oct 2017, 20:00
Let total no. of trees be 100
Apple trees = 75% =75
Yellow apple = 20% of 75 = 75/5 =15
Probability = 15/100 = 0.15

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Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink]

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New post 30 Oct 2017, 12:58
saswata4s wrote:
75% of the fruit trees in an orchard are apple trees, and 20% of those trees produce yellow apple. If one tree is to be selected at random, what is the probability that the tree selected produces yellow apple?

(a) 0.15
(b) 0.20
(c) 0.25
(d) 0.50
(e) 0.55


If we let the total number of trees = n, then 3/4 x 1/5 x n = 3n/20 produce yellow apples. Thus, the probability that the tree selected produces yellow apples is (3n/20)/n = 3/20 = 0.15.

Answer: A
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Kudos [?]: 981 [0], given: 5

Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those   [#permalink] 30 Oct 2017, 12:58
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