At a certain non-profit organization, 65% of employees are college graduates and of employees have more than ten years of experience. If of the organization's employees both have more than ten years of experience and are college graduates, what is the probability that a randomly selected employee will be either a college graduate or have more than ten years of experience (or both)

The probability is 27%.

Step-by-step explanation:

We are not given the percentage value for the employees, so we choose an assumed percentage value of  35%

Also; Let assume that if 73% of the organization's employees both have more than ten years of experience and are college graduates

Using the Set theory:

Let represent  the college graduates to be group A; &

Let represent the experienced employees to be group B.

A = 65% of the population

B =  35% of the population;  &

A U B (union of A and B) = 73%.

The objective here is to determine the  probability that a randomly selected employee will be either a college graduate or have more than ten years of experience (or both)

i.e We need to determine the size of A ∩ B ; which is read as : (intersection of A and B )

(i.e the group of college grads with 10 yrs experience).

Thus;

P( A U B) = P(A) + P(B) - P(A ∩ B )

P(A ∩ B) = P(A) + P(B) -  P(A U B)

P(A ∩ B) = 0.65 + 0.35 - 0.73 = 0.27

Thus ,the probability is 27%.

pla·gia·rism

/ˈplājəˌrizəm/

learn to pronounce

noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.