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?

Question

Mathematics

Zoe

23 March, 22:16

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?

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Matthew · Answer 1

Probability of neither married nor a college graduate is 0.36

Step-by-step explanation:

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