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Author Topic: Help me solve and understand this math problem  (Read 1175 times)
BTC_GHD (OP)
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December 09, 2013, 02:16:42 AM
 #1

Could someone show me how to solve this also include an answer! I'm looking to learn not just mooch

Problem:
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At a certain non-profit organization, 60% of employees are college graduates and 36% of employees have more than ten years of experience. If 68% of the organization's employees are either college graduates or have more than ten years of experience (or both), what is the probability that a randomly selected employee will have more than ten years of experience and be a college graduate?
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Frogcoin
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December 09, 2013, 03:47:31 AM
 #2

Set theory:

Let the college grads be group A and the experienced employees be group B.

A is 60% of the population, B is 36% of the population, and A U B (union of A and B) is 68%.

We want to know the size of A ∩ B (intersection of A and B -- that is the group of college grads with 10 yrs experience).

Now A U B = A + B - A ∩ B so A ∩ B = .6 + .36 - .68 = 0.28.

Therefore the probability is 28%.
Haidang1796
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December 09, 2013, 11:20:30 PM
 #3

Set theory:

Let the college grads be group A and the experienced employees be group B.

A is 60% of the population, B is 36% of the population, and A U B (union of A and B) is 68%.

We want to know the size of A ∩ B (intersection of A and B -- that is the group of college grads with 10 yrs experience).

Now A U B = A + B - A ∩ B so A ∩ B = .6 + .36 - .68 = 0.28.

Therefore the probability is 28%.
This seems legit

b!z
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May 08, 2014, 03:06:47 AM
 #4

It's impossible to know, either frogcoin is joking or trying to sound intelligent.

What makes you think it's impossible?
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