Employment data at a large company reveal that 55 % of the workers are married, that 20 % are college graduates, and that 1/5 of the college graduates are married. what is the probability that a randomly chosen worker is: a) neither married nor a college graduate?
Probability of neither married nor a college graduate is 0.36
We have the probability of the married workers and the college graduate, we need the probability of not being married or graduate.
The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.
So , the probability of not workers not being married is 1-55 %=45 %
The probability of not being a college graduate is 1-20 %= 80%
To get the probability of choose the 2 conditions we have to multiple both probabilities.
Probability (neither married nor a college graduate)=0.45 x 0.80=0.36
we have three similar triangles, because each has a right angle and shares an angle. let's write the angles in order: opposite to short leg, long leg, hypotenuse.
cab similar to bad similar to cbd
or as ratios,
ca: ab: cb = ba: ad: bd = cb: bd: cd
we also know
ac = ad + cd
(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd
we have cb=6, ad=5 and seek x=cd.
we reject the negative root and conclude x=4