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

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saswata4s
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75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink] New post   25 Oct 2017, 19:52
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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
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A
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amanvermagmat
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Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink] New post   25 Oct 2017, 22:39
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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] New post   15 Jun 2018, 09:41
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Hey,
75 tress out of 100 are apple trees. Out of these trees 20% or 15 tress are yellow apple tress. Probability of picking yellow tree is 15/100, or .15
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Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink] New post   25 Oct 2017, 20:26
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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] New post   28 Oct 2017, 21:00
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] New post   30 Oct 2017, 13:58
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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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Re: 75% of the fruit trees in an orchard are apple trees, and 20% of those [#permalink]
30 Oct 2017, 13:58
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